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Finding the Fourth Proportional to 17,722.65, 24,456.96 and 9,765.61

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Solution

The fourth proportional to 17,722.65, 24,456.96 and 9,765.61 is: 13,476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722.65 : 24,456.96 = 9,765.61 : x
  2. Step 2: Convert to fraction form
    17,722.65/24,456.96 = 9,765.61/x
  3. Step 3: Cross multiply
    17,722.65x = 24,456.96 × 9,765.61
  4. Step 4: Simplify right side
    17,722.65x = 238,837,237.04
  5. Step 5: Solve for x
    x = 238,837,237.04/17,722.65
  6. Step 6: Final answer
    x = 13,476.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.