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Finding the Fourth Proportional to 25,697.95, 38,553.06 and 8,167.81

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Solution

The fourth proportional to 25,697.95, 38,553.06 and 8,167.81 is: 12,253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,697.95 : 38,553.06 = 8,167.81 : x
  2. Step 2: Convert to fraction form
    25,697.95/38,553.06 = 8,167.81/x
  3. Step 3: Cross multiply
    25,697.95x = 38,553.06 × 8,167.81
  4. Step 4: Simplify right side
    25,697.95x = 314,894,069.00
  5. Step 5: Solve for x
    x = 314,894,069.00/25,697.95
  6. Step 6: Final answer
    x = 12,253.66

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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.