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Finding the Fourth Proportional to 17,474.42, 24,114.94 and 9,920.18

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Solution

The fourth proportional to 17,474.42, 24,114.94 and 9,920.18 is: 13,689.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,474.42 : 24,114.94 = 9,920.18 : x
  2. Step 2: Convert to fraction form
    17,474.42/24,114.94 = 9,920.18/x
  3. Step 3: Cross multiply
    17,474.42x = 24,114.94 × 9,920.18
  4. Step 4: Simplify right side
    17,474.42x = 239,224,545.49
  5. Step 5: Solve for x
    x = 239,224,545.49/17,474.42
  6. Step 6: Final answer
    x = 13,689.98

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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.