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Finding the Fourth Proportional to 23,616.22, 32,590.42 and 13,005.86

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Solution

The fourth proportional to 23,616.22, 32,590.42 and 13,005.86 is: 17,948.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,616.22 : 32,590.42 = 13,005.86 : x
  2. Step 2: Convert to fraction form
    23,616.22/32,590.42 = 13,005.86/x
  3. Step 3: Cross multiply
    23,616.22x = 32,590.42 × 13,005.86
  4. Step 4: Simplify right side
    23,616.22x = 423,866,439.86
  5. Step 5: Solve for x
    x = 423,866,439.86/23,616.22
  6. Step 6: Final answer
    x = 17,948.11

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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.