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Finding the Fourth Proportional to 12,194.07, 18,291.03 and 4,294.74

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Solution

The fourth proportional to 12,194.07, 18,291.03 and 4,294.74 is: 6,442.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.07 : 18,291.03 = 4,294.74 : x
  2. Step 2: Convert to fraction form
    12,194.07/18,291.03 = 4,294.74/x
  3. Step 3: Cross multiply
    12,194.07x = 18,291.03 × 4,294.74
  4. Step 4: Simplify right side
    12,194.07x = 78,555,218.18
  5. Step 5: Solve for x
    x = 78,555,218.18/12,194.07
  6. Step 6: Final answer
    x = 6,442.08

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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.