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Finding the Fourth Proportional to 24,671.89, 37,008.21 and 7,141.78

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Solution

The fourth proportional to 24,671.89, 37,008.21 and 7,141.78 is: 10,712.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,671.89 : 37,008.21 = 7,141.78 : x
  2. Step 2: Convert to fraction form
    24,671.89/37,008.21 = 7,141.78/x
  3. Step 3: Cross multiply
    24,671.89x = 37,008.21 × 7,141.78
  4. Step 4: Simplify right side
    24,671.89x = 264,304,494.01
  5. Step 5: Solve for x
    x = 264,304,494.01/24,671.89
  6. Step 6: Final answer
    x = 10,712.78

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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.