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Finding the Fourth Proportional to 23,451.76, 32,363.42 and 12,841.40

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Solution

The fourth proportional to 23,451.76, 32,363.42 and 12,841.40 is: 17,721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,451.76 : 32,363.42 = 12,841.40 : x
  2. Step 2: Convert to fraction form
    23,451.76/32,363.42 = 12,841.40/x
  3. Step 3: Cross multiply
    23,451.76x = 32,363.42 × 12,841.40
  4. Step 4: Simplify right side
    23,451.76x = 415,591,621.59
  5. Step 5: Solve for x
    x = 415,591,621.59/23,451.76
  6. Step 6: Final answer
    x = 17,721.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.