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Finding the Fourth Proportional to 10,354.90, 15,532.35 and 9,901.30

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Solution

The fourth proportional to 10,354.90, 15,532.35 and 9,901.30 is: 14,851.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.90 : 15,532.35 = 9,901.30 : x
  2. Step 2: Convert to fraction form
    10,354.90/15,532.35 = 9,901.30/x
  3. Step 3: Cross multiply
    10,354.90x = 15,532.35 × 9,901.30
  4. Step 4: Simplify right side
    10,354.90x = 153,790,457.06
  5. Step 5: Solve for x
    x = 153,790,457.06/10,354.90
  6. Step 6: Final answer
    x = 14,851.95

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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.