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Finding the Fourth Proportional to 14,706.72, 22,059.36 and 5,472

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Solution

The fourth proportional to 14,706.72, 22,059.36 and 5,472 is: 8,207.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.72 : 22,059.36 = 5,472 : x
  2. Step 2: Convert to fraction form
    14,706.72/22,059.36 = 5,472/x
  3. Step 3: Cross multiply
    14,706.72x = 22,059.36 × 5,472
  4. Step 4: Simplify right side
    14,706.72x = 120,708,817.92
  5. Step 5: Solve for x
    x = 120,708,817.92/14,706.72
  6. Step 6: Final answer
    x = 8,207.73

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Why These Related Problems?

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