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Finding the Fourth Proportional to 25,966.50, 38,950.53 and 8,197.30

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Solution

The fourth proportional to 25,966.50, 38,950.53 and 8,197.30 is: 12,296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,966.50 : 38,950.53 = 8,197.30 : x
  2. Step 2: Convert to fraction form
    25,966.50/38,950.53 = 8,197.30/x
  3. Step 3: Cross multiply
    25,966.50x = 38,950.53 × 8,197.30
  4. Step 4: Simplify right side
    25,966.50x = 319,289,179.57
  5. Step 5: Solve for x
    x = 319,289,179.57/25,966.50
  6. Step 6: Final answer
    x = 12,296.20

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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.