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Finding the Fourth Proportional to 17,732.37, 24,470.84 and 9,774.89

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Solution

The fourth proportional to 17,732.37, 24,470.84 and 9,774.89 is: 13,489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732.37 : 24,470.84 = 9,774.89 : x
  2. Step 2: Convert to fraction form
    17,732.37/24,470.84 = 9,774.89/x
  3. Step 3: Cross multiply
    17,732.37x = 24,470.84 × 9,774.89
  4. Step 4: Simplify right side
    17,732.37x = 239,199,671.29
  5. Step 5: Solve for x
    x = 239,199,671.29/17,732.37
  6. Step 6: Final answer
    x = 13,489.43

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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.