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Finding the Fourth Proportional to 12,434.17, 18,649.65 and 4,112.14

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Solution

The fourth proportional to 12,434.17, 18,649.65 and 4,112.14 is: 6,167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.17 : 18,649.65 = 4,112.14 : x
  2. Step 2: Convert to fraction form
    12,434.17/18,649.65 = 4,112.14/x
  3. Step 3: Cross multiply
    12,434.17x = 18,649.65 × 4,112.14
  4. Step 4: Simplify right side
    12,434.17x = 76,689,971.75
  5. Step 5: Solve for x
    x = 76,689,971.75/12,434.17
  6. Step 6: Final answer
    x = 6,167.68

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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.