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Finding the Fourth Proportional to 26,148.80, 36,082.58 and 15,537

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Solution

The fourth proportional to 26,148.80, 36,082.58 and 15,537 is: 21,439.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,148.80 : 36,082.58 = 15,537 : x
  2. Step 2: Convert to fraction form
    26,148.80/36,082.58 = 15,537/x
  3. Step 3: Cross multiply
    26,148.80x = 36,082.58 × 15,537
  4. Step 4: Simplify right side
    26,148.80x = 560,615,045.46
  5. Step 5: Solve for x
    x = 560,615,045.46/26,148.80
  6. Step 6: Final answer
    x = 21,439.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.