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Finding the Fourth Proportional to 21,884.76, 32,827.32 and 9,403.92

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Solution

The fourth proportional to 21,884.76, 32,827.32 and 9,403.92 is: 14,105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,884.76 : 32,827.32 = 9,403.92 : x
  2. Step 2: Convert to fraction form
    21,884.76/32,827.32 = 9,403.92/x
  3. Step 3: Cross multiply
    21,884.76x = 32,827.32 × 9,403.92
  4. Step 4: Simplify right side
    21,884.76x = 308,705,491.09
  5. Step 5: Solve for x
    x = 308,705,491.09/21,884.76
  6. Step 6: Final answer
    x = 14,105.96

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1.5x scale

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.