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Finding the Fourth Proportional to 23,616.59, 32,590.89 and 13,006.13

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Solution

The fourth proportional to 23,616.59, 32,590.89 and 13,006.13 is: 17,948.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,616.59 : 32,590.89 = 13,006.13 : x
  2. Step 2: Convert to fraction form
    23,616.59/32,590.89 = 13,006.13/x
  3. Step 3: Cross multiply
    23,616.59x = 32,590.89 × 13,006.13
  4. Step 4: Simplify right side
    23,616.59x = 423,881,189.20
  5. Step 5: Solve for x
    x = 423,881,189.20/23,616.59
  6. Step 6: Final answer
    x = 17,948.45

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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.