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Finding the Fourth Proportional to 16,083.65, 24,141.06 and 7,769.61

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Solution

The fourth proportional to 16,083.65, 24,141.06 and 7,769.61 is: 11,661.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083.65 : 24,141.06 = 7,769.61 : x
  2. Step 2: Convert to fraction form
    16,083.65/24,141.06 = 7,769.61/x
  3. Step 3: Cross multiply
    16,083.65x = 24,141.06 × 7,769.61
  4. Step 4: Simplify right side
    16,083.65x = 187,566,621.19
  5. Step 5: Solve for x
    x = 187,566,621.19/16,083.65
  6. Step 6: Final answer
    x = 11,661.95

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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.