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Finding the Fourth Proportional to 25,952.17, 38,933.72 and 8,420.64

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Solution

The fourth proportional to 25,952.17, 38,933.72 and 8,420.64 is: 12,632.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,952.17 : 38,933.72 = 8,420.64 : x
  2. Step 2: Convert to fraction form
    25,952.17/38,933.72 = 8,420.64/x
  3. Step 3: Cross multiply
    25,952.17x = 38,933.72 × 8,420.64
  4. Step 4: Simplify right side
    25,952.17x = 327,846,861.03
  5. Step 5: Solve for x
    x = 327,846,861.03/25,952.17
  6. Step 6: Final answer
    x = 12,632.74

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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.