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Finding the Fourth Proportional to 23,387.78, 32,275.14 and 12,777.38

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Solution

The fourth proportional to 23,387.78, 32,275.14 and 12,777.38 is: 17,632.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,387.78 : 32,275.14 = 12,777.38 : x
  2. Step 2: Convert to fraction form
    23,387.78/32,275.14 = 12,777.38/x
  3. Step 3: Cross multiply
    23,387.78x = 32,275.14 × 12,777.38
  4. Step 4: Simplify right side
    23,387.78x = 412,391,728.33
  5. Step 5: Solve for x
    x = 412,391,728.33/23,387.78
  6. Step 6: Final answer
    x = 17,632.79

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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.