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Finding the Fourth Proportional to 20,996,842.64, 31,483,866.86 and 9,468,821.68

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Solution

The fourth proportional to 20,996,842.64, 31,483,866.86 and 9,468,821.68 is: 14,198,092.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,996,842.64 : 31,483,866.86 = 9,468,821.68 : x
  2. Step 2: Convert to fraction form
    20,996,842.64/31,483,866.86 = 9,468,821.68/x
  3. Step 3: Cross multiply
    20,996,842.64x = 31,483,866.86 × 9,468,821.68
  4. Step 4: Simplify right side
    20,996,842.64x = 298,115,121,094,201.50
  5. Step 5: Solve for x
    x = 298,115,121,094,201.50/20,996,842.64
  6. Step 6: Final answer
    x = 14,198,092.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.