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Finding the Fourth Proportional to 24,852.20, 34,296.03 and 13,674.20

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Solution

The fourth proportional to 24,852.20, 34,296.03 and 13,674.20 is: 18,870.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,852.20 : 34,296.03 = 13,674.20 : x
  2. Step 2: Convert to fraction form
    24,852.20/34,296.03 = 13,674.20/x
  3. Step 3: Cross multiply
    24,852.20x = 34,296.03 × 13,674.20
  4. Step 4: Simplify right side
    24,852.20x = 468,970,601.95
  5. Step 5: Solve for x
    x = 468,970,601.95/24,852.20
  6. Step 6: Final answer
    x = 18,870.39

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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.