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Finding the Fourth Proportional to 24,439.90, 33,726.90 and 13,829.30

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Solution

The fourth proportional to 24,439.90, 33,726.90 and 13,829.30 is: 19,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,439.90 : 33,726.90 = 13,829.30 : x
  2. Step 2: Convert to fraction form
    24,439.90/33,726.90 = 13,829.30/x
  3. Step 3: Cross multiply
    24,439.90x = 33,726.90 × 13,829.30
  4. Step 4: Simplify right side
    24,439.90x = 466,419,418.17
  5. Step 5: Solve for x
    x = 466,419,418.17/24,439.90
  6. Step 6: Final answer
    x = 19,084.34

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1.5x scale

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.