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Finding the Fourth Proportional to 23,616.83, 32,591.16 and 13,006.40

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Solution

The fourth proportional to 23,616.83, 32,591.16 and 13,006.40 is: 17,948.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,616.83 : 32,591.16 = 13,006.40 : x
  2. Step 2: Convert to fraction form
    23,616.83/32,591.16 = 13,006.40/x
  3. Step 3: Cross multiply
    23,616.83x = 32,591.16 × 13,006.40
  4. Step 4: Simplify right side
    23,616.83x = 423,893,500.47
  5. Step 5: Solve for x
    x = 423,893,500.47/23,616.83
  6. Step 6: Final answer
    x = 17,948.79

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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.