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Finding the Fourth Proportional to 24,419.80, 36,623.22 and 6,891.40

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Solution

The fourth proportional to 24,419.80, 36,623.22 and 6,891.40 is: 10,335.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,419.80 : 36,623.22 = 6,891.40 : x
  2. Step 2: Convert to fraction form
    24,419.80/36,623.22 = 6,891.40/x
  3. Step 3: Cross multiply
    24,419.80x = 36,623.22 × 6,891.40
  4. Step 4: Simplify right side
    24,419.80x = 252,385,258.31
  5. Step 5: Solve for x
    x = 252,385,258.31/24,419.80
  6. Step 6: Final answer
    x = 10,335.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.