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Finding the Fourth Proportional to 17,706.92, 24,437.27 and 13,222.89

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Solution

The fourth proportional to 17,706.92, 24,437.27 and 13,222.89 is: 18,248.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.92 : 24,437.27 = 13,222.89 : x
  2. Step 2: Convert to fraction form
    17,706.92/24,437.27 = 13,222.89/x
  3. Step 3: Cross multiply
    17,706.92x = 24,437.27 × 13,222.89
  4. Step 4: Simplify right side
    17,706.92x = 323,131,267.00
  5. Step 5: Solve for x
    x = 323,131,267.00/17,706.92
  6. Step 6: Final answer
    x = 18,248.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.