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Finding the Fourth Proportional to 15,842.43, 21,864.86 and 9,126.76

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Solution

The fourth proportional to 15,842.43, 21,864.86 and 9,126.76 is: 12,596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.43 : 21,864.86 = 9,126.76 : x
  2. Step 2: Convert to fraction form
    15,842.43/21,864.86 = 9,126.76/x
  3. Step 3: Cross multiply
    15,842.43x = 21,864.86 × 9,126.76
  4. Step 4: Simplify right side
    15,842.43x = 199,555,329.65
  5. Step 5: Solve for x
    x = 199,555,329.65/15,842.43
  6. Step 6: Final answer
    x = 12,596.26

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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.