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Finding the Fourth Proportional to 23,232.14, 32,061.06 and 13,672.76

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Solution

The fourth proportional to 23,232.14, 32,061.06 and 13,672.76 is: 18,868.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,232.14 : 32,061.06 = 13,672.76 : x
  2. Step 2: Convert to fraction form
    23,232.14/32,061.06 = 13,672.76/x
  3. Step 3: Cross multiply
    23,232.14x = 32,061.06 × 13,672.76
  4. Step 4: Simplify right side
    23,232.14x = 438,363,178.73
  5. Step 5: Solve for x
    x = 438,363,178.73/23,232.14
  6. Step 6: Final answer
    x = 18,868.82

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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.