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Finding the Fourth Proportional to 24,543.48, 33,870.06 and 13,366.20

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Solution

The fourth proportional to 24,543.48, 33,870.06 and 13,366.20 is: 18,445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,543.48 : 33,870.06 = 13,366.20 : x
  2. Step 2: Convert to fraction form
    24,543.48/33,870.06 = 13,366.20/x
  3. Step 3: Cross multiply
    24,543.48x = 33,870.06 × 13,366.20
  4. Step 4: Simplify right side
    24,543.48x = 452,713,995.97
  5. Step 5: Solve for x
    x = 452,713,995.97/24,543.48
  6. Step 6: Final answer
    x = 18,445.39

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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.