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Finding the Fourth Proportional to 24,642, 34,005.96 and 13,464

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Solution

The fourth proportional to 24,642, 34,005.96 and 13,464 is: 18,580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,642 : 34,005.96 = 13,464 : x
  2. Step 2: Convert to fraction form
    24,642/34,005.96 = 13,464/x
  3. Step 3: Cross multiply
    24,642x = 34,005.96 × 13,464
  4. Step 4: Simplify right side
    24,642x = 457,856,245.44
  5. Step 5: Solve for x
    x = 457,856,245.44/24,642
  6. Step 6: Final answer
    x = 18,580.32

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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.