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Finding the Fourth Proportional to 12,128.16, 18,165.92 and 7,434.22

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Solution

The fourth proportional to 12,128.16, 18,165.92 and 7,434.22 is: 11,135.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128.16 : 18,165.92 = 7,434.22 : x
  2. Step 2: Convert to fraction form
    12,128.16/18,165.92 = 7,434.22/x
  3. Step 3: Cross multiply
    12,128.16x = 18,165.92 × 7,434.22
  4. Step 4: Simplify right side
    12,128.16x = 135,049,445.78
  5. Step 5: Solve for x
    x = 135,049,445.78/12,128.16
  6. Step 6: Final answer
    x = 11,135.20

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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.