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Finding the Fourth Proportional to 24,393.96, 36,587.70 and 6,865.29

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Solution

The fourth proportional to 24,393.96, 36,587.70 and 6,865.29 is: 10,297.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,393.96 : 36,587.70 = 6,865.29 : x
  2. Step 2: Convert to fraction form
    24,393.96/36,587.70 = 6,865.29/x
  3. Step 3: Cross multiply
    24,393.96x = 36,587.70 × 6,865.29
  4. Step 4: Simplify right side
    24,393.96x = 251,185,170.93
  5. Step 5: Solve for x
    x = 251,185,170.93/24,393.96
  6. Step 6: Final answer
    x = 10,297.02

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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.