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Finding the Fourth Proportional to 12,225.20, 16,871.08 and 6,919.76

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Solution

The fourth proportional to 12,225.20, 16,871.08 and 6,919.76 is: 9,549.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.20 : 16,871.08 = 6,919.76 : x
  2. Step 2: Convert to fraction form
    12,225.20/16,871.08 = 6,919.76/x
  3. Step 3: Cross multiply
    12,225.20x = 16,871.08 × 6,919.76
  4. Step 4: Simplify right side
    12,225.20x = 116,743,824.54
  5. Step 5: Solve for x
    x = 116,743,824.54/12,225.20
  6. Step 6: Final answer
    x = 9,549.44

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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.