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Finding the Fourth Proportional to 15,262.68, 22,896.32 and 5,402.06

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Solution

The fourth proportional to 15,262.68, 22,896.32 and 5,402.06 is: 8,103.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,262.68 : 22,896.32 = 5,402.06 : x
  2. Step 2: Convert to fraction form
    15,262.68/22,896.32 = 5,402.06/x
  3. Step 3: Cross multiply
    15,262.68x = 22,896.32 × 5,402.06
  4. Step 4: Simplify right side
    15,262.68x = 123,687,152.93
  5. Step 5: Solve for x
    x = 123,687,152.93/15,262.68
  6. Step 6: Final answer
    x = 8,103.89

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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.