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Finding the Fourth Proportional to 24,476.32, 36,714.48 and 6,943.87

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Solution

The fourth proportional to 24,476.32, 36,714.48 and 6,943.87 is: 10,415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,476.32 : 36,714.48 = 6,943.87 : x
  2. Step 2: Convert to fraction form
    24,476.32/36,714.48 = 6,943.87/x
  3. Step 3: Cross multiply
    24,476.32x = 36,714.48 × 6,943.87
  4. Step 4: Simplify right side
    24,476.32x = 254,940,576.24
  5. Step 5: Solve for x
    x = 254,940,576.24/24,476.32
  6. Step 6: Final answer
    x = 10,415.81

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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.