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Finding the Fourth Proportional to 29,709.60, 44,562.76 and 9,986.12

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Solution

The fourth proportional to 29,709.60, 44,562.76 and 9,986.12 is: 14,978.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,709.60 : 44,562.76 = 9,986.12 : x
  2. Step 2: Convert to fraction form
    29,709.60/44,562.76 = 9,986.12/x
  3. Step 3: Cross multiply
    29,709.60x = 44,562.76 × 9,986.12
  4. Step 4: Simplify right side
    29,709.60x = 445,009,068.89
  5. Step 5: Solve for x
    x = 445,009,068.89/29,709.60
  6. Step 6: Final answer
    x = 14,978.63

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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.