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Finding the Fourth Proportional to 12,343.46, 18,496.62 and 7,407.72

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Solution

The fourth proportional to 12,343.46, 18,496.62 and 7,407.72 is: 11,100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,343.46 : 18,496.62 = 7,407.72 : x
  2. Step 2: Convert to fraction form
    12,343.46/18,496.62 = 7,407.72/x
  3. Step 3: Cross multiply
    12,343.46x = 18,496.62 × 7,407.72
  4. Step 4: Simplify right side
    12,343.46x = 137,017,781.91
  5. Step 5: Solve for x
    x = 137,017,781.91/12,343.46
  6. Step 6: Final answer
    x = 11,100.44

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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.