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Finding the Fourth Proportional to 12,112.40, 18,167.88 and 5,186.24

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Solution

The fourth proportional to 12,112.40, 18,167.88 and 5,186.24 is: 7,779.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,112.40 : 18,167.88 = 5,186.24 : x
  2. Step 2: Convert to fraction form
    12,112.40/18,167.88 = 5,186.24/x
  3. Step 3: Cross multiply
    12,112.40x = 18,167.88 × 5,186.24
  4. Step 4: Simplify right side
    12,112.40x = 94,222,985.97
  5. Step 5: Solve for x
    x = 94,222,985.97/12,112.40
  6. Step 6: Final answer
    x = 7,779.05

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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.