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Finding the Fourth Proportional to 12,361.86, 18,543.56 and 4,042.76

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Solution

The fourth proportional to 12,361.86, 18,543.56 and 4,042.76 is: 6,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,361.86 : 18,543.56 = 4,042.76 : x
  2. Step 2: Convert to fraction form
    12,361.86/18,543.56 = 4,042.76/x
  3. Step 3: Cross multiply
    12,361.86x = 18,543.56 × 4,042.76
  4. Step 4: Simplify right side
    12,361.86x = 74,967,162.63
  5. Step 5: Solve for x
    x = 74,967,162.63/12,361.86
  6. Step 6: Final answer
    x = 6,064.39

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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.