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Finding the Fourth Proportional to 17,631, 24,330.72 and 9,673.20

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Solution

The fourth proportional to 17,631, 24,330.72 and 9,673.20 is: 13,348.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,631 : 24,330.72 = 9,673.20 : x
  2. Step 2: Convert to fraction form
    17,631/24,330.72 = 9,673.20/x
  3. Step 3: Cross multiply
    17,631x = 24,330.72 × 9,673.20
  4. Step 4: Simplify right side
    17,631x = 235,355,920.70
  5. Step 5: Solve for x
    x = 235,355,920.70/17,631
  6. Step 6: Final answer
    x = 13,348.98

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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.