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Finding the Fourth Proportional to 23,616.50, 32,590.41 and 13,006.13

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Solution

The fourth proportional to 23,616.50, 32,590.41 and 13,006.13 is: 17,948.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,616.50 : 32,590.41 = 13,006.13 : x
  2. Step 2: Convert to fraction form
    23,616.50/32,590.41 = 13,006.13/x
  3. Step 3: Cross multiply
    23,616.50x = 32,590.41 × 13,006.13
  4. Step 4: Simplify right side
    23,616.50x = 423,875,109.21
  5. Step 5: Solve for x
    x = 423,875,109.21/23,616.50
  6. Step 6: Final answer
    x = 17,948.26

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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.