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Finding the Fourth Proportional to 12,137.86, 18,214.08 and 5,117.43

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Solution

The fourth proportional to 12,137.86, 18,214.08 and 5,117.43 is: 7,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.86 : 18,214.08 = 5,117.43 : x
  2. Step 2: Convert to fraction form
    12,137.86/18,214.08 = 5,117.43/x
  3. Step 3: Cross multiply
    12,137.86x = 18,214.08 × 5,117.43
  4. Step 4: Simplify right side
    12,137.86x = 93,209,279.41
  5. Step 5: Solve for x
    x = 93,209,279.41/12,137.86
  6. Step 6: Final answer
    x = 7,679.22

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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.