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Finding the Fourth Proportional to 12,189.76, 18,287.27 and 3,870.44

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Solution

The fourth proportional to 12,189.76, 18,287.27 and 3,870.44 is: 5,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.76 : 18,287.27 = 3,870.44 : x
  2. Step 2: Convert to fraction form
    12,189.76/18,287.27 = 3,870.44/x
  3. Step 3: Cross multiply
    12,189.76x = 18,287.27 × 3,870.44
  4. Step 4: Simplify right side
    12,189.76x = 70,779,781.30
  5. Step 5: Solve for x
    x = 70,779,781.30/12,189.76
  6. Step 6: Final answer
    x = 5,806.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.