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Finding the Fourth Proportional to 23,737.92, 32,758.16 and 14,182.12

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Solution

The fourth proportional to 23,737.92, 32,758.16 and 14,182.12 is: 19,571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,737.92 : 32,758.16 = 14,182.12 : x
  2. Step 2: Convert to fraction form
    23,737.92/32,758.16 = 14,182.12/x
  3. Step 3: Cross multiply
    23,737.92x = 32,758.16 × 14,182.12
  4. Step 4: Simplify right side
    23,737.92x = 464,580,156.10
  5. Step 5: Solve for x
    x = 464,580,156.10/23,737.92
  6. Step 6: Final answer
    x = 19,571.22

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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.