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Finding the Fourth Proportional to 25,889.98, 38,829.42 and 8,355.10

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Solution

The fourth proportional to 25,889.98, 38,829.42 and 8,355.10 is: 12,530.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,889.98 : 38,829.42 = 8,355.10 : x
  2. Step 2: Convert to fraction form
    25,889.98/38,829.42 = 8,355.10/x
  3. Step 3: Cross multiply
    25,889.98x = 38,829.42 × 8,355.10
  4. Step 4: Simplify right side
    25,889.98x = 324,423,687.04
  5. Step 5: Solve for x
    x = 324,423,687.04/25,889.98
  6. Step 6: Final answer
    x = 12,530.86

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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.