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Finding the Fourth Proportional to 12,034.98, 18,052.49 and 4,642.92

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Solution

The fourth proportional to 12,034.98, 18,052.49 and 4,642.92 is: 6,964.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.98 : 18,052.49 = 4,642.92 : x
  2. Step 2: Convert to fraction form
    12,034.98/18,052.49 = 4,642.92/x
  3. Step 3: Cross multiply
    12,034.98x = 18,052.49 × 4,642.92
  4. Step 4: Simplify right side
    12,034.98x = 83,816,278.48
  5. Step 5: Solve for x
    x = 83,816,278.48/12,034.98
  6. Step 6: Final answer
    x = 6,964.39

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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.