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Finding the Fourth Proportional to 12,251.32, 16,907.56 and 6,874.20

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Solution

The fourth proportional to 12,251.32, 16,907.56 and 6,874.20 is: 9,486.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.32 : 16,907.56 = 6,874.20 : x
  2. Step 2: Convert to fraction form
    12,251.32/16,907.56 = 6,874.20/x
  3. Step 3: Cross multiply
    12,251.32x = 16,907.56 × 6,874.20
  4. Step 4: Simplify right side
    12,251.32x = 116,225,948.95
  5. Step 5: Solve for x
    x = 116,225,948.95/12,251.32
  6. Step 6: Final answer
    x = 9,486.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.