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Finding the Fourth Proportional to 25,511.76, 38,270.42 and 8,656.94

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Solution

The fourth proportional to 25,511.76, 38,270.42 and 8,656.94 is: 12,986.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,511.76 : 38,270.42 = 8,656.94 : x
  2. Step 2: Convert to fraction form
    25,511.76/38,270.42 = 8,656.94/x
  3. Step 3: Cross multiply
    25,511.76x = 38,270.42 × 8,656.94
  4. Step 4: Simplify right side
    25,511.76x = 331,304,729.71
  5. Step 5: Solve for x
    x = 331,304,729.71/25,511.76
  6. Step 6: Final answer
    x = 12,986.35

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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.