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Finding the Fourth Proportional to 16,516.61, 24,778.70 and 7,158.20

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Solution

The fourth proportional to 16,516.61, 24,778.70 and 7,158.20 is: 10,738.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,516.61 : 24,778.70 = 7,158.20 : x
  2. Step 2: Convert to fraction form
    16,516.61/24,778.70 = 7,158.20/x
  3. Step 3: Cross multiply
    16,516.61x = 24,778.70 × 7,158.20
  4. Step 4: Simplify right side
    16,516.61x = 177,370,970.18
  5. Step 5: Solve for x
    x = 177,370,970.18/16,516.61
  6. Step 6: Final answer
    x = 10,738.94

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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.