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Finding the Fourth Proportional to 25,671.84, 38,522 and 12,524.32

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Solution

The fourth proportional to 25,671.84, 38,522 and 12,524.32 is: 18,793.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,671.84 : 38,522 = 12,524.32 : x
  2. Step 2: Convert to fraction form
    25,671.84/38,522 = 12,524.32/x
  3. Step 3: Cross multiply
    25,671.84x = 38,522 × 12,524.32
  4. Step 4: Simplify right side
    25,671.84x = 482,461,855.04
  5. Step 5: Solve for x
    x = 482,461,855.04/25,671.84
  6. Step 6: Final answer
    x = 18,793.43

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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.