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Finding the Fourth Proportional to 24,721.68, 37,089.46 and 9,941

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Solution

The fourth proportional to 24,721.68, 37,089.46 and 9,941 is: 14,914.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,721.68 : 37,089.46 = 9,941 : x
  2. Step 2: Convert to fraction form
    24,721.68/37,089.46 = 9,941/x
  3. Step 3: Cross multiply
    24,721.68x = 37,089.46 × 9,941
  4. Step 4: Simplify right side
    24,721.68x = 368,706,321.86
  5. Step 5: Solve for x
    x = 368,706,321.86/24,721.68
  6. Step 6: Final answer
    x = 14,914.29

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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.