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Finding the Fourth Proportional to 16,102.80, 24,158.52 and 15,838.74

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Solution

The fourth proportional to 16,102.80, 24,158.52 and 15,838.74 is: 23,762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.80 : 24,158.52 = 15,838.74 : x
  2. Step 2: Convert to fraction form
    16,102.80/24,158.52 = 15,838.74/x
  3. Step 3: Cross multiply
    16,102.80x = 24,158.52 × 15,838.74
  4. Step 4: Simplify right side
    16,102.80x = 382,640,517.06
  5. Step 5: Solve for x
    x = 382,640,517.06/16,102.80
  6. Step 6: Final answer
    x = 23,762.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.