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Finding the Fourth Proportional to 25,808.42, 38,714.43 and 10,226

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Solution

The fourth proportional to 25,808.42, 38,714.43 and 10,226 is: 15,339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,808.42 : 38,714.43 = 10,226 : x
  2. Step 2: Convert to fraction form
    25,808.42/38,714.43 = 10,226/x
  3. Step 3: Cross multiply
    25,808.42x = 38,714.43 × 10,226
  4. Step 4: Simplify right side
    25,808.42x = 395,893,761.18
  5. Step 5: Solve for x
    x = 395,893,761.18/25,808.42
  6. Step 6: Final answer
    x = 15,339.71

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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.