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Finding the Fourth Proportional to 17,506.80, 24,159.24 and 9,549.24

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Solution

The fourth proportional to 17,506.80, 24,159.24 and 9,549.24 is: 13,177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,506.80 : 24,159.24 = 9,549.24 : x
  2. Step 2: Convert to fraction form
    17,506.80/24,159.24 = 9,549.24/x
  3. Step 3: Cross multiply
    17,506.80x = 24,159.24 × 9,549.24
  4. Step 4: Simplify right side
    17,506.80x = 230,702,380.98
  5. Step 5: Solve for x
    x = 230,702,380.98/17,506.80
  6. Step 6: Final answer
    x = 13,177.87

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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.