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Finding the Fourth Proportional to 23,616.45, 32,590.49 and 13,005.86

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Solution

The fourth proportional to 23,616.45, 32,590.49 and 13,005.86 is: 17,947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,616.45 : 32,590.49 = 13,005.86 : x
  2. Step 2: Convert to fraction form
    23,616.45/32,590.49 = 13,005.86/x
  3. Step 3: Cross multiply
    23,616.45x = 32,590.49 × 13,005.86
  4. Step 4: Simplify right side
    23,616.45x = 423,867,122.29
  5. Step 5: Solve for x
    x = 423,867,122.29/23,616.45
  6. Step 6: Final answer
    x = 17,947.96

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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.