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Finding the Fourth Proportional to 25,774.32, 38,657.80 and 8,241.84

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Solution

The fourth proportional to 25,774.32, 38,657.80 and 8,241.84 is: 12,361.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,774.32 : 38,657.80 = 8,241.84 : x
  2. Step 2: Convert to fraction form
    25,774.32/38,657.80 = 8,241.84/x
  3. Step 3: Cross multiply
    25,774.32x = 38,657.80 × 8,241.84
  4. Step 4: Simplify right side
    25,774.32x = 318,611,402.35
  5. Step 5: Solve for x
    x = 318,611,402.35/25,774.32
  6. Step 6: Final answer
    x = 12,361.58

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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.