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Finding the Fourth Proportional to 17,507.67, 24,160.17 and 9,549.96

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Solution

The fourth proportional to 17,507.67, 24,160.17 and 9,549.96 is: 13,178.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,507.67 : 24,160.17 = 9,549.96 : x
  2. Step 2: Convert to fraction form
    17,507.67/24,160.17 = 9,549.96/x
  3. Step 3: Cross multiply
    17,507.67x = 24,160.17 × 9,549.96
  4. Step 4: Simplify right side
    17,507.67x = 230,728,657.09
  5. Step 5: Solve for x
    x = 230,728,657.09/17,507.67
  6. Step 6: Final answer
    x = 13,178.72

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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.