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Finding the Fourth Proportional to 17,506.82, 24,159.48 and 9,549.08

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Solution

The fourth proportional to 17,506.82, 24,159.48 and 9,549.08 is: 13,177.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,506.82 : 24,159.48 = 9,549.08 : x
  2. Step 2: Convert to fraction form
    17,506.82/24,159.48 = 9,549.08/x
  3. Step 3: Cross multiply
    17,506.82x = 24,159.48 × 9,549.08
  4. Step 4: Simplify right side
    17,506.82x = 230,700,807.28
  5. Step 5: Solve for x
    x = 230,700,807.28/17,506.82
  6. Step 6: Final answer
    x = 13,177.77

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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.