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Finding the Fourth Proportional to 16,387.81, 24,581.72 and 7,617.94

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Solution

The fourth proportional to 16,387.81, 24,581.72 and 7,617.94 is: 11,426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,387.81 : 24,581.72 = 7,617.94 : x
  2. Step 2: Convert to fraction form
    16,387.81/24,581.72 = 7,617.94/x
  3. Step 3: Cross multiply
    16,387.81x = 24,581.72 × 7,617.94
  4. Step 4: Simplify right side
    16,387.81x = 187,262,025.65
  5. Step 5: Solve for x
    x = 187,262,025.65/16,387.81
  6. Step 6: Final answer
    x = 11,426.91

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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.