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Finding the Fourth Proportional to 24,642, 34,007.18 and 14,032.62

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Solution

The fourth proportional to 24,642, 34,007.18 and 14,032.62 is: 19,365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,642 : 34,007.18 = 14,032.62 : x
  2. Step 2: Convert to fraction form
    24,642/34,007.18 = 14,032.62/x
  3. Step 3: Cross multiply
    24,642x = 34,007.18 × 14,032.62
  4. Step 4: Simplify right side
    24,642x = 477,209,764.05
  5. Step 5: Solve for x
    x = 477,209,764.05/24,642
  6. Step 6: Final answer
    x = 19,365.71

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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.