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Finding the Fourth Proportional to 21,530.48, 32,282.48 and 8,367.50

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Solution

The fourth proportional to 21,530.48, 32,282.48 and 8,367.50 is: 12,546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,530.48 : 32,282.48 = 8,367.50 : x
  2. Step 2: Convert to fraction form
    21,530.48/32,282.48 = 8,367.50/x
  3. Step 3: Cross multiply
    21,530.48x = 32,282.48 × 8,367.50
  4. Step 4: Simplify right side
    21,530.48x = 270,123,753.02
  5. Step 5: Solve for x
    x = 270,123,753.02/21,530.48
  6. Step 6: Final answer
    x = 12,546.11

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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.