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Finding the Fourth Proportional to 17,507.11, 24,160.40 and 9,549.78

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Solution

The fourth proportional to 17,507.11, 24,160.40 and 9,549.78 is: 13,179.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,507.11 : 24,160.40 = 9,549.78 : x
  2. Step 2: Convert to fraction form
    17,507.11/24,160.40 = 9,549.78/x
  3. Step 3: Cross multiply
    17,507.11x = 24,160.40 × 9,549.78
  4. Step 4: Simplify right side
    17,507.11x = 230,726,336.16
  5. Step 5: Solve for x
    x = 230,726,336.16/17,507.11
  6. Step 6: Final answer
    x = 13,179.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.