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Finding the Fourth Proportional to 25,730.10, 38,597.99 and 8,195.90

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Solution

The fourth proportional to 25,730.10, 38,597.99 and 8,195.90 is: 12,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,730.10 : 38,597.99 = 8,195.90 : x
  2. Step 2: Convert to fraction form
    25,730.10/38,597.99 = 8,195.90/x
  3. Step 3: Cross multiply
    25,730.10x = 38,597.99 × 8,195.90
  4. Step 4: Simplify right side
    25,730.10x = 316,345,266.24
  5. Step 5: Solve for x
    x = 316,345,266.24/25,730.10
  6. Step 6: Final answer
    x = 12,294.75

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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.