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Finding the Fourth Proportional to 16,022.61, 24,049.41 and 7,708.37

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Solution

The fourth proportional to 16,022.61, 24,049.41 and 7,708.37 is: 11,570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,022.61 : 24,049.41 = 7,708.37 : x
  2. Step 2: Convert to fraction form
    16,022.61/24,049.41 = 7,708.37/x
  3. Step 3: Cross multiply
    16,022.61x = 24,049.41 × 7,708.37
  4. Step 4: Simplify right side
    16,022.61x = 185,381,601.41
  5. Step 5: Solve for x
    x = 185,381,601.41/16,022.61
  6. Step 6: Final answer
    x = 11,570.00

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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.