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Finding the Fourth Proportional to 15,082.39, 22,593.07 and 7,192.59

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Solution

The fourth proportional to 15,082.39, 22,593.07 and 7,192.59 is: 10,774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,082.39 : 22,593.07 = 7,192.59 : x
  2. Step 2: Convert to fraction form
    15,082.39/22,593.07 = 7,192.59/x
  3. Step 3: Cross multiply
    15,082.39x = 22,593.07 × 7,192.59
  4. Step 4: Simplify right side
    15,082.39x = 162,502,689.35
  5. Step 5: Solve for x
    x = 162,502,689.35/15,082.39
  6. Step 6: Final answer
    x = 10,774.33

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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.