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Finding the Fourth Proportional to 34,191.96, 51,297.36 and 12,002.41

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Solution

The fourth proportional to 34,191.96, 51,297.36 and 12,002.41 is: 18,006.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,191.96 : 51,297.36 = 12,002.41 : x
  2. Step 2: Convert to fraction form
    34,191.96/51,297.36 = 12,002.41/x
  3. Step 3: Cross multiply
    34,191.96x = 51,297.36 × 12,002.41
  4. Step 4: Simplify right side
    34,191.96x = 615,691,946.64
  5. Step 5: Solve for x
    x = 615,691,946.64/34,191.96
  6. Step 6: Final answer
    x = 18,006.92

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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.