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Finding the Fourth Proportional to 24,829, 34,272 and 15,900.56

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Solution

The fourth proportional to 24,829, 34,272 and 15,900.56 is: 21,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,829 : 34,272 = 15,900.56 : x
  2. Step 2: Convert to fraction form
    24,829/34,272 = 15,900.56/x
  3. Step 3: Cross multiply
    24,829x = 34,272 × 15,900.56
  4. Step 4: Simplify right side
    24,829x = 544,943,992.32
  5. Step 5: Solve for x
    x = 544,943,992.32/24,829
  6. Step 6: Final answer
    x = 21,947.88

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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.