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Finding the Fourth Proportional to 15,354.36, 23,034.78 and 7,562.16

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Solution

The fourth proportional to 15,354.36, 23,034.78 and 7,562.16 is: 11,344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,354.36 : 23,034.78 = 7,562.16 : x
  2. Step 2: Convert to fraction form
    15,354.36/23,034.78 = 7,562.16/x
  3. Step 3: Cross multiply
    15,354.36x = 23,034.78 × 7,562.16
  4. Step 4: Simplify right side
    15,354.36x = 174,192,691.92
  5. Step 5: Solve for x
    x = 174,192,691.92/15,354.36
  6. Step 6: Final answer
    x = 11,344.84

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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.