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Finding the Fourth Proportional to 23,385.52, 32,257 and 14,306.64

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Solution

The fourth proportional to 23,385.52, 32,257 and 14,306.64 is: 19,733.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,385.52 : 32,257 = 14,306.64 : x
  2. Step 2: Convert to fraction form
    23,385.52/32,257 = 14,306.64/x
  3. Step 3: Cross multiply
    23,385.52x = 32,257 × 14,306.64
  4. Step 4: Simplify right side
    23,385.52x = 461,489,286.48
  5. Step 5: Solve for x
    x = 461,489,286.48/23,385.52
  6. Step 6: Final answer
    x = 19,733.98

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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.