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Finding the Fourth Proportional to 23,231.65, 32,062.43 and 13,800.25

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Solution

The fourth proportional to 23,231.65, 32,062.43 and 13,800.25 is: 19,045.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,231.65 : 32,062.43 = 13,800.25 : x
  2. Step 2: Convert to fraction form
    23,231.65/32,062.43 = 13,800.25/x
  3. Step 3: Cross multiply
    23,231.65x = 32,062.43 × 13,800.25
  4. Step 4: Simplify right side
    23,231.65x = 442,469,549.61
  5. Step 5: Solve for x
    x = 442,469,549.61/23,231.65
  6. Step 6: Final answer
    x = 19,045.98

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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.