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Finding the Fourth Proportional to 24,642.78, 34,007.00 and 14,032.41

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Solution

The fourth proportional to 24,642.78, 34,007.00 and 14,032.41 is: 19,364.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,642.78 : 34,007.00 = 14,032.41 : x
  2. Step 2: Convert to fraction form
    24,642.78/34,007.00 = 14,032.41/x
  3. Step 3: Cross multiply
    24,642.78x = 34,007.00 × 14,032.41
  4. Step 4: Simplify right side
    24,642.78x = 477,200,160.47
  5. Step 5: Solve for x
    x = 477,200,160.47/24,642.78
  6. Step 6: Final answer
    x = 19,364.71

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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.