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Finding the Fourth Proportional to 26,714, 40,071.52 and 8,246

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Solution

The fourth proportional to 26,714, 40,071.52 and 8,246 is: 12,369.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,714 : 40,071.52 = 8,246 : x
  2. Step 2: Convert to fraction form
    26,714/40,071.52 = 8,246/x
  3. Step 3: Cross multiply
    26,714x = 40,071.52 × 8,246
  4. Step 4: Simplify right side
    26,714x = 330,429,753.92
  5. Step 5: Solve for x
    x = 330,429,753.92/26,714
  6. Step 6: Final answer
    x = 12,369.16

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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.