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Finding the Fourth Proportional to 34,199.40, 51,306.78 and 12,014.30

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Solution

The fourth proportional to 34,199.40, 51,306.78 and 12,014.30 is: 18,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,199.40 : 51,306.78 = 12,014.30 : x
  2. Step 2: Convert to fraction form
    34,199.40/51,306.78 = 12,014.30/x
  3. Step 3: Cross multiply
    34,199.40x = 51,306.78 × 12,014.30
  4. Step 4: Simplify right side
    34,199.40x = 616,415,046.95
  5. Step 5: Solve for x
    x = 616,415,046.95/34,199.40
  6. Step 6: Final answer
    x = 18,024.15

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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.