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Finding the Fourth Proportional to 23,230.53, 32,058.26 and 14,283.88

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Solution

The fourth proportional to 23,230.53, 32,058.26 and 14,283.88 is: 19,711.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,230.53 : 32,058.26 = 14,283.88 : x
  2. Step 2: Convert to fraction form
    23,230.53/32,058.26 = 14,283.88/x
  3. Step 3: Cross multiply
    23,230.53x = 32,058.26 × 14,283.88
  4. Step 4: Simplify right side
    23,230.53x = 457,916,354.52
  5. Step 5: Solve for x
    x = 457,916,354.52/23,230.53
  6. Step 6: Final answer
    x = 19,711.83

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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.