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Finding the Fourth Proportional to 21,374.84, 32,063.88 and 5,793.68

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Solution

The fourth proportional to 21,374.84, 32,063.88 and 5,793.68 is: 8,690.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,374.84 : 32,063.88 = 5,793.68 : x
  2. Step 2: Convert to fraction form
    21,374.84/32,063.88 = 5,793.68/x
  3. Step 3: Cross multiply
    21,374.84x = 32,063.88 × 5,793.68
  4. Step 4: Simplify right side
    21,374.84x = 185,767,860.28
  5. Step 5: Solve for x
    x = 185,767,860.28/21,374.84
  6. Step 6: Final answer
    x = 8,690.96

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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.