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Finding the Fourth Proportional to 12,184.28, 16,808.80 and 7,148.80

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Solution

The fourth proportional to 12,184.28, 16,808.80 and 7,148.80 is: 9,862.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.28 : 16,808.80 = 7,148.80 : x
  2. Step 2: Convert to fraction form
    12,184.28/16,808.80 = 7,148.80/x
  3. Step 3: Cross multiply
    12,184.28x = 16,808.80 × 7,148.80
  4. Step 4: Simplify right side
    12,184.28x = 120,162,749.44
  5. Step 5: Solve for x
    x = 120,162,749.44/12,184.28
  6. Step 6: Final answer
    x = 9,862.11

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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.