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Finding the Fourth Proportional to 24,498.20, 33,807.78 and 13,320.20

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Solution

The fourth proportional to 24,498.20, 33,807.78 and 13,320.20 is: 18,382.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,498.20 : 33,807.78 = 13,320.20 : x
  2. Step 2: Convert to fraction form
    24,498.20/33,807.78 = 13,320.20/x
  3. Step 3: Cross multiply
    24,498.20x = 33,807.78 × 13,320.20
  4. Step 4: Simplify right side
    24,498.20x = 450,326,391.16
  5. Step 5: Solve for x
    x = 450,326,391.16/24,498.20
  6. Step 6: Final answer
    x = 18,382.02

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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.