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Finding the Fourth Proportional to 10,892.40, 16,302.15 and 9,580.20

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Solution

The fourth proportional to 10,892.40, 16,302.15 and 9,580.20 is: 14,338.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.40 : 16,302.15 = 9,580.20 : x
  2. Step 2: Convert to fraction form
    10,892.40/16,302.15 = 9,580.20/x
  3. Step 3: Cross multiply
    10,892.40x = 16,302.15 × 9,580.20
  4. Step 4: Simplify right side
    10,892.40x = 156,177,857.43
  5. Step 5: Solve for x
    x = 156,177,857.43/10,892.40
  6. Step 6: Final answer
    x = 14,338.24

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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.