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Finding the Fourth Proportional to 24,379.34, 36,569.00 and 8,580.65

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Solution

The fourth proportional to 24,379.34, 36,569.00 and 8,580.65 is: 12,870.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,379.34 : 36,569.00 = 8,580.65 : x
  2. Step 2: Convert to fraction form
    24,379.34/36,569.00 = 8,580.65/x
  3. Step 3: Cross multiply
    24,379.34x = 36,569.00 × 8,580.65
  4. Step 4: Simplify right side
    24,379.34x = 313,785,628.46
  5. Step 5: Solve for x
    x = 313,785,628.46/24,379.34
  6. Step 6: Final answer
    x = 12,870.97

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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.