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Finding the Fourth Proportional to 25,994.88, 38,975.04 and 8,458.56

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Solution

The fourth proportional to 25,994.88, 38,975.04 and 8,458.56 is: 12,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,994.88 : 38,975.04 = 8,458.56 : x
  2. Step 2: Convert to fraction form
    25,994.88/38,975.04 = 8,458.56/x
  3. Step 3: Cross multiply
    25,994.88x = 38,975.04 × 8,458.56
  4. Step 4: Simplify right side
    25,994.88x = 329,672,714.34
  5. Step 5: Solve for x
    x = 329,672,714.34/25,994.88
  6. Step 6: Final answer
    x = 12,682.22

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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.