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Finding the Fourth Proportional to 23,523.76, 32,469.02 and 14,566.18

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Solution

The fourth proportional to 23,523.76, 32,469.02 and 14,566.18 is: 20,105.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,523.76 : 32,469.02 = 14,566.18 : x
  2. Step 2: Convert to fraction form
    23,523.76/32,469.02 = 14,566.18/x
  3. Step 3: Cross multiply
    23,523.76x = 32,469.02 × 14,566.18
  4. Step 4: Simplify right side
    23,523.76x = 472,949,589.74
  5. Step 5: Solve for x
    x = 472,949,589.74/23,523.76
  6. Step 6: Final answer
    x = 20,105.19

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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.