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Finding the Fourth Proportional to 24,852.78, 34,296.78 and 13,674.78

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Solution

The fourth proportional to 24,852.78, 34,296.78 and 13,674.78 is: 18,871.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,852.78 : 34,296.78 = 13,674.78 : x
  2. Step 2: Convert to fraction form
    24,852.78/34,296.78 = 13,674.78/x
  3. Step 3: Cross multiply
    24,852.78x = 34,296.78 × 13,674.78
  4. Step 4: Simplify right side
    24,852.78x = 469,000,921.21
  5. Step 5: Solve for x
    x = 469,000,921.21/24,852.78
  6. Step 6: Final answer
    x = 18,871.17

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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.