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Finding the Fourth Proportional to 23,616.90, 32,591.16 and 13,006.44

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Solution

The fourth proportional to 23,616.90, 32,591.16 and 13,006.44 is: 17,948.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,616.90 : 32,591.16 = 13,006.44 : x
  2. Step 2: Convert to fraction form
    23,616.90/32,591.16 = 13,006.44/x
  3. Step 3: Cross multiply
    23,616.90x = 32,591.16 × 13,006.44
  4. Step 4: Simplify right side
    23,616.90x = 423,894,967.07
  5. Step 5: Solve for x
    x = 423,894,967.07/23,616.90
  6. Step 6: Final answer
    x = 17,948.80

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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.