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Finding the Fourth Proportional to 17,507.49, 24,160.33 and 9,549.75

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Solution

The fourth proportional to 17,507.49, 24,160.33 and 9,549.75 is: 13,178.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,507.49 : 24,160.33 = 9,549.75 : x
  2. Step 2: Convert to fraction form
    17,507.49/24,160.33 = 9,549.75/x
  3. Step 3: Cross multiply
    17,507.49x = 24,160.33 × 9,549.75
  4. Step 4: Simplify right side
    17,507.49x = 230,725,111.42
  5. Step 5: Solve for x
    x = 230,725,111.42/17,507.49
  6. Step 6: Final answer
    x = 13,178.65

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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.