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Finding the Fourth Proportional to 24,927.35, 37,398.09 and 10,146.87

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Solution

The fourth proportional to 24,927.35, 37,398.09 and 10,146.87 is: 15,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,927.35 : 37,398.09 = 10,146.87 : x
  2. Step 2: Convert to fraction form
    24,927.35/37,398.09 = 10,146.87/x
  3. Step 3: Cross multiply
    24,927.35x = 37,398.09 × 10,146.87
  4. Step 4: Simplify right side
    24,927.35x = 379,473,557.48
  5. Step 5: Solve for x
    x = 379,473,557.48/24,927.35
  6. Step 6: Final answer
    x = 15,223.18

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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.