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Finding the Fourth Proportional to 24,660, 34,030.80 and 15,843.36

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Solution

The fourth proportional to 24,660, 34,030.80 and 15,843.36 is: 21,863.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,660 : 34,030.80 = 15,843.36 : x
  2. Step 2: Convert to fraction form
    24,660/34,030.80 = 15,843.36/x
  3. Step 3: Cross multiply
    24,660x = 34,030.80 × 15,843.36
  4. Step 4: Simplify right side
    24,660x = 539,162,215.49
  5. Step 5: Solve for x
    x = 539,162,215.49/24,660
  6. Step 6: Final answer
    x = 21,863.84

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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.