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Finding the Fourth Proportional to 25,730.80, 38,599.20 and 8,202.40

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Solution

The fourth proportional to 25,730.80, 38,599.20 and 8,202.40 is: 12,304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,730.80 : 38,599.20 = 8,202.40 : x
  2. Step 2: Convert to fraction form
    25,730.80/38,599.20 = 8,202.40/x
  3. Step 3: Cross multiply
    25,730.80x = 38,599.20 × 8,202.40
  4. Step 4: Simplify right side
    25,730.80x = 316,606,078.08
  5. Step 5: Solve for x
    x = 316,606,078.08/25,730.80
  6. Step 6: Final answer
    x = 12,304.56

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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.