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Finding the Fourth Proportional to 25,676.16, 38,514.30 and 6,956.32

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Solution

The fourth proportional to 25,676.16, 38,514.30 and 6,956.32 is: 10,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,676.16 : 38,514.30 = 6,956.32 : x
  2. Step 2: Convert to fraction form
    25,676.16/38,514.30 = 6,956.32/x
  3. Step 3: Cross multiply
    25,676.16x = 38,514.30 × 6,956.32
  4. Step 4: Simplify right side
    25,676.16x = 267,917,795.38
  5. Step 5: Solve for x
    x = 267,917,795.38/25,676.16
  6. Step 6: Final answer
    x = 10,434.50

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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.