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Finding the Fourth Proportional to 12,606.30, 18,909.72 and 5,680.80

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Solution

The fourth proportional to 12,606.30, 18,909.72 and 5,680.80 is: 8,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.30 : 18,909.72 = 5,680.80 : x
  2. Step 2: Convert to fraction form
    12,606.30/18,909.72 = 5,680.80/x
  3. Step 3: Cross multiply
    12,606.30x = 18,909.72 × 5,680.80
  4. Step 4: Simplify right side
    12,606.30x = 107,422,337.38
  5. Step 5: Solve for x
    x = 107,422,337.38/12,606.30
  6. Step 6: Final answer
    x = 8,521.32

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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.