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Finding the Fourth Proportional to 22,731.30, 34,082.37 and 9,580.14

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Solution

The fourth proportional to 22,731.30, 34,082.37 and 9,580.14 is: 14,364.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,731.30 : 34,082.37 = 9,580.14 : x
  2. Step 2: Convert to fraction form
    22,731.30/34,082.37 = 9,580.14/x
  3. Step 3: Cross multiply
    22,731.30x = 34,082.37 × 9,580.14
  4. Step 4: Simplify right side
    22,731.30x = 326,513,876.13
  5. Step 5: Solve for x
    x = 326,513,876.13/22,731.30
  6. Step 6: Final answer
    x = 14,364.07

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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.