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Finding the Fourth Proportional to 25,222.66, 37,836.17 and 6,502.54

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Solution

The fourth proportional to 25,222.66, 37,836.17 and 6,502.54 is: 9,754.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,222.66 : 37,836.17 = 6,502.54 : x
  2. Step 2: Convert to fraction form
    25,222.66/37,836.17 = 6,502.54/x
  3. Step 3: Cross multiply
    25,222.66x = 37,836.17 × 6,502.54
  4. Step 4: Simplify right side
    25,222.66x = 246,031,044.55
  5. Step 5: Solve for x
    x = 246,031,044.55/25,222.66
  6. Step 6: Final answer
    x = 9,754.37

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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.