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Finding the Fourth Proportional to 17,789.67, 24,549.71 and 11,502

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Solution

The fourth proportional to 17,789.67, 24,549.71 and 11,502 is: 15,872.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,789.67 : 24,549.71 = 11,502 : x
  2. Step 2: Convert to fraction form
    17,789.67/24,549.71 = 11,502/x
  3. Step 3: Cross multiply
    17,789.67x = 24,549.71 × 11,502
  4. Step 4: Simplify right side
    17,789.67x = 282,370,706.91
  5. Step 5: Solve for x
    x = 282,370,706.91/17,789.67
  6. Step 6: Final answer
    x = 15,872.73

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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.