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Finding the Fourth Proportional to 12,189.52, 18,281.68 and 3,870.28

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Solution

The fourth proportional to 12,189.52, 18,281.68 and 3,870.28 is: 5,804.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.52 : 18,281.68 = 3,870.28 : x
  2. Step 2: Convert to fraction form
    12,189.52/18,281.68 = 3,870.28/x
  3. Step 3: Cross multiply
    12,189.52x = 18,281.68 × 3,870.28
  4. Step 4: Simplify right side
    12,189.52x = 70,755,220.47
  5. Step 5: Solve for x
    x = 70,755,220.47/12,189.52
  6. Step 6: Final answer
    x = 5,804.59

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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.