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Finding the Fourth Proportional to 25,614.96, 38,426.76 and 8,084.40

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Solution

The fourth proportional to 25,614.96, 38,426.76 and 8,084.40 is: 12,127.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,614.96 : 38,426.76 = 8,084.40 : x
  2. Step 2: Convert to fraction form
    25,614.96/38,426.76 = 8,084.40/x
  3. Step 3: Cross multiply
    25,614.96x = 38,426.76 × 8,084.40
  4. Step 4: Simplify right side
    25,614.96x = 310,657,298.54
  5. Step 5: Solve for x
    x = 310,657,298.54/25,614.96
  6. Step 6: Final answer
    x = 12,127.96

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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.