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Finding the Fourth Proportional to 25,616.98, 38,437.34 and 10,829.34

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Solution

The fourth proportional to 25,616.98, 38,437.34 and 10,829.34 is: 16,249.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,616.98 : 38,437.34 = 10,829.34 : x
  2. Step 2: Convert to fraction form
    25,616.98/38,437.34 = 10,829.34/x
  3. Step 3: Cross multiply
    25,616.98x = 38,437.34 × 10,829.34
  4. Step 4: Simplify right side
    25,616.98x = 416,251,023.56
  5. Step 5: Solve for x
    x = 416,251,023.56/25,616.98
  6. Step 6: Final answer
    x = 16,249.03

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