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Finding the Fourth Proportional to 10,814, 16,221 and 3,023.15

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Solution

The fourth proportional to 10,814, 16,221 and 3,023.15 is: 4,534.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814 : 16,221 = 3,023.15 : x
  2. Step 2: Convert to fraction form
    10,814/16,221 = 3,023.15/x
  3. Step 3: Cross multiply
    10,814x = 16,221 × 3,023.15
  4. Step 4: Simplify right side
    10,814x = 49,038,516.15
  5. Step 5: Solve for x
    x = 49,038,516.15/10,814
  6. Step 6: Final answer
    x = 4,534.73

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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.