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Finding the Fourth Proportional to 14,698.07, 20,284.83 and 8,650.68

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Solution

The fourth proportional to 14,698.07, 20,284.83 and 8,650.68 is: 11,938.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,698.07 : 20,284.83 = 8,650.68 : x
  2. Step 2: Convert to fraction form
    14,698.07/20,284.83 = 8,650.68/x
  3. Step 3: Cross multiply
    14,698.07x = 20,284.83 × 8,650.68
  4. Step 4: Simplify right side
    14,698.07x = 175,477,497.12
  5. Step 5: Solve for x
    x = 175,477,497.12/14,698.07
  6. Step 6: Final answer
    x = 11,938.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.