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Finding the Fourth Proportional to 12,014.58, 16,560.29 and 8,034.24

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Solution

The fourth proportional to 12,014.58, 16,560.29 and 8,034.24 is: 11,073.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.58 : 16,560.29 = 8,034.24 : x
  2. Step 2: Convert to fraction form
    12,014.58/16,560.29 = 8,034.24/x
  3. Step 3: Cross multiply
    12,014.58x = 16,560.29 × 8,034.24
  4. Step 4: Simplify right side
    12,014.58x = 133,049,304.16
  5. Step 5: Solve for x
    x = 133,049,304.16/12,014.58
  6. Step 6: Final answer
    x = 11,073.99

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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.