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Finding the Fourth Proportional to 15,781.38, 21,777.74 and 8,707.65

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Solution

The fourth proportional to 15,781.38, 21,777.74 and 8,707.65 is: 12,016.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781.38 : 21,777.74 = 8,707.65 : x
  2. Step 2: Convert to fraction form
    15,781.38/21,777.74 = 8,707.65/x
  3. Step 3: Cross multiply
    15,781.38x = 21,777.74 × 8,707.65
  4. Step 4: Simplify right side
    15,781.38x = 189,632,943.17
  5. Step 5: Solve for x
    x = 189,632,943.17/15,781.38
  6. Step 6: Final answer
    x = 12,016.24

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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.