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Finding the Fourth Proportional to 12,014.40, 16,570.56 and 8,034.24

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Solution

The fourth proportional to 12,014.40, 16,570.56 and 8,034.24 is: 11,081.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.40 : 16,570.56 = 8,034.24 : x
  2. Step 2: Convert to fraction form
    12,014.40/16,570.56 = 8,034.24/x
  3. Step 3: Cross multiply
    12,014.40x = 16,570.56 × 8,034.24
  4. Step 4: Simplify right side
    12,014.40x = 133,131,855.97
  5. Step 5: Solve for x
    x = 133,131,855.97/12,014.40
  6. Step 6: Final answer
    x = 11,081.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.