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Finding the Fourth Proportional to 12,434.16, 18,648.54 and 4,112.22

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Solution

The fourth proportional to 12,434.16, 18,648.54 and 4,112.22 is: 6,167.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.16 : 18,648.54 = 4,112.22 : x
  2. Step 2: Convert to fraction form
    12,434.16/18,648.54 = 4,112.22/x
  3. Step 3: Cross multiply
    12,434.16x = 18,648.54 × 4,112.22
  4. Step 4: Simplify right side
    12,434.16x = 76,686,899.16
  5. Step 5: Solve for x
    x = 76,686,899.16/12,434.16
  6. Step 6: Final answer
    x = 6,167.44

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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.