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Finding the Fourth Proportional to 17,732.60, 24,472.06 and 9,774.79

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Solution

The fourth proportional to 17,732.60, 24,472.06 and 9,774.79 is: 13,489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732.60 : 24,472.06 = 9,774.79 : x
  2. Step 2: Convert to fraction form
    17,732.60/24,472.06 = 9,774.79/x
  3. Step 3: Cross multiply
    17,732.60x = 24,472.06 × 9,774.79
  4. Step 4: Simplify right side
    17,732.60x = 239,209,161.75
  5. Step 5: Solve for x
    x = 239,209,161.75/17,732.60
  6. Step 6: Final answer
    x = 13,489.80

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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.