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Finding the Fourth Proportional to 23,286.30, 34,929.45 and 7,701.90

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Solution

The fourth proportional to 23,286.30, 34,929.45 and 7,701.90 is: 11,552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,286.30 : 34,929.45 = 7,701.90 : x
  2. Step 2: Convert to fraction form
    23,286.30/34,929.45 = 7,701.90/x
  3. Step 3: Cross multiply
    23,286.30x = 34,929.45 × 7,701.90
  4. Step 4: Simplify right side
    23,286.30x = 269,023,130.96
  5. Step 5: Solve for x
    x = 269,023,130.96/23,286.30
  6. Step 6: Final answer
    x = 11,552.85

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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.