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Finding the Fourth Proportional to 17,725.70, 24,462.54 and 9,767.92

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Solution

The fourth proportional to 17,725.70, 24,462.54 and 9,767.92 is: 13,480.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,725.70 : 24,462.54 = 9,767.92 : x
  2. Step 2: Convert to fraction form
    17,725.70/24,462.54 = 9,767.92/x
  3. Step 3: Cross multiply
    17,725.70x = 24,462.54 × 9,767.92
  4. Step 4: Simplify right side
    17,725.70x = 238,948,133.72
  5. Step 5: Solve for x
    x = 238,948,133.72/17,725.70
  6. Step 6: Final answer
    x = 13,480.32

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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.