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Finding the Fourth Proportional to 25,674.67, 38,513.28 and 8,142.88

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Solution

The fourth proportional to 25,674.67, 38,513.28 and 8,142.88 is: 12,214.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,674.67 : 38,513.28 = 8,142.88 : x
  2. Step 2: Convert to fraction form
    25,674.67/38,513.28 = 8,142.88/x
  3. Step 3: Cross multiply
    25,674.67x = 38,513.28 × 8,142.88
  4. Step 4: Simplify right side
    25,674.67x = 313,609,017.45
  5. Step 5: Solve for x
    x = 313,609,017.45/25,674.67
  6. Step 6: Final answer
    x = 12,214.72

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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.