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Finding the Fourth Proportional to 21,618.80, 32,416.98 and 8,287.86

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Solution

The fourth proportional to 21,618.80, 32,416.98 and 8,287.86 is: 12,427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,618.80 : 32,416.98 = 8,287.86 : x
  2. Step 2: Convert to fraction form
    21,618.80/32,416.98 = 8,287.86/x
  3. Step 3: Cross multiply
    21,618.80x = 32,416.98 × 8,287.86
  4. Step 4: Simplify right side
    21,618.80x = 268,667,391.86
  5. Step 5: Solve for x
    x = 268,667,391.86/21,618.80
  6. Step 6: Final answer
    x = 12,427.49

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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.