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Finding the Fourth Proportional to 12,189.51, 18,284.90 and 3,870.17

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Solution

The fourth proportional to 12,189.51, 18,284.90 and 3,870.17 is: 5,805.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.51 : 18,284.90 = 3,870.17 : x
  2. Step 2: Convert to fraction form
    12,189.51/18,284.90 = 3,870.17/x
  3. Step 3: Cross multiply
    12,189.51x = 18,284.90 × 3,870.17
  4. Step 4: Simplify right side
    12,189.51x = 70,765,560.66
  5. Step 5: Solve for x
    x = 70,765,560.66/12,189.51
  6. Step 6: Final answer
    x = 5,805.45

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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.