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Finding the Fourth Proportional to 24,467, 36,702.33 and 6,938.24

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Solution

The fourth proportional to 24,467, 36,702.33 and 6,938.24 is: 10,407.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,467 : 36,702.33 = 6,938.24 : x
  2. Step 2: Convert to fraction form
    24,467/36,702.33 = 6,938.24/x
  3. Step 3: Cross multiply
    24,467x = 36,702.33 × 6,938.24
  4. Step 4: Simplify right side
    24,467x = 254,649,574.10
  5. Step 5: Solve for x
    x = 254,649,574.10/24,467
  6. Step 6: Final answer
    x = 10,407.88

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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.