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Finding the Fourth Proportional to 10,288.60, 15,432.90 and 9,165.40

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Solution

The fourth proportional to 10,288.60, 15,432.90 and 9,165.40 is: 13,748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.60 : 15,432.90 = 9,165.40 : x
  2. Step 2: Convert to fraction form
    10,288.60/15,432.90 = 9,165.40/x
  3. Step 3: Cross multiply
    10,288.60x = 15,432.90 × 9,165.40
  4. Step 4: Simplify right side
    10,288.60x = 141,448,701.66
  5. Step 5: Solve for x
    x = 141,448,701.66/10,288.60
  6. Step 6: Final answer
    x = 13,748.10

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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.