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Finding the Fourth Proportional to 15,884.72, 21,920.16 and 8,811

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Solution

The fourth proportional to 15,884.72, 21,920.16 and 8,811 is: 12,158.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884.72 : 21,920.16 = 8,811 : x
  2. Step 2: Convert to fraction form
    15,884.72/21,920.16 = 8,811/x
  3. Step 3: Cross multiply
    15,884.72x = 21,920.16 × 8,811
  4. Step 4: Simplify right side
    15,884.72x = 193,138,529.76
  5. Step 5: Solve for x
    x = 193,138,529.76/15,884.72
  6. Step 6: Final answer
    x = 12,158.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.