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Finding the Fourth Proportional to 24,223.50, 36,331.05 and 6,688.62

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Solution

The fourth proportional to 24,223.50, 36,331.05 and 6,688.62 is: 10,031.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,223.50 : 36,331.05 = 6,688.62 : x
  2. Step 2: Convert to fraction form
    24,223.50/36,331.05 = 6,688.62/x
  3. Step 3: Cross multiply
    24,223.50x = 36,331.05 × 6,688.62
  4. Step 4: Simplify right side
    24,223.50x = 243,004,587.65
  5. Step 5: Solve for x
    x = 243,004,587.65/24,223.50
  6. Step 6: Final answer
    x = 10,031.77

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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.