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Finding the Fourth Proportional to 16,166.71, 24,234.33 and 7,731.02

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Solution

The fourth proportional to 16,166.71, 24,234.33 and 7,731.02 is: 11,589.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,166.71 : 24,234.33 = 7,731.02 : x
  2. Step 2: Convert to fraction form
    16,166.71/24,234.33 = 7,731.02/x
  3. Step 3: Cross multiply
    16,166.71x = 24,234.33 × 7,731.02
  4. Step 4: Simplify right side
    16,166.71x = 187,355,968.74
  5. Step 5: Solve for x
    x = 187,355,968.74/16,166.71
  6. Step 6: Final answer
    x = 11,589.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.