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Finding the Fourth Proportional to 15,142.80, 22,706.10 and 5,282.40

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Solution

The fourth proportional to 15,142.80, 22,706.10 and 5,282.40 is: 7,920.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.80 : 22,706.10 = 5,282.40 : x
  2. Step 2: Convert to fraction form
    15,142.80/22,706.10 = 5,282.40/x
  3. Step 3: Cross multiply
    15,142.80x = 22,706.10 × 5,282.40
  4. Step 4: Simplify right side
    15,142.80x = 119,942,702.64
  5. Step 5: Solve for x
    x = 119,942,702.64/15,142.80
  6. Step 6: Final answer
    x = 7,920.77

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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.