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Finding the Fourth Proportional to 24,901.68, 37,354.32 and 9,914.64

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Solution

The fourth proportional to 24,901.68, 37,354.32 and 9,914.64 is: 14,872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,901.68 : 37,354.32 = 9,914.64 : x
  2. Step 2: Convert to fraction form
    24,901.68/37,354.32 = 9,914.64/x
  3. Step 3: Cross multiply
    24,901.68x = 37,354.32 × 9,914.64
  4. Step 4: Simplify right side
    24,901.68x = 370,354,635.24
  5. Step 5: Solve for x
    x = 370,354,635.24/24,901.68
  6. Step 6: Final answer
    x = 14,872.68

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