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Finding the Fourth Proportional to 23,613.50, 32,585.86 and 13,002.86

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Solution

The fourth proportional to 23,613.50, 32,585.86 and 13,002.86 is: 17,943.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,613.50 : 32,585.86 = 13,002.86 : x
  2. Step 2: Convert to fraction form
    23,613.50/32,585.86 = 13,002.86/x
  3. Step 3: Cross multiply
    23,613.50x = 32,585.86 × 13,002.86
  4. Step 4: Simplify right side
    23,613.50x = 423,709,375.56
  5. Step 5: Solve for x
    x = 423,709,375.56/23,613.50
  6. Step 6: Final answer
    x = 17,943.52

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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.