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Finding the Fourth Proportional to 14,814.56, 20,444.10 and 8,440.85

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Solution

The fourth proportional to 14,814.56, 20,444.10 and 8,440.85 is: 11,648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,814.56 : 20,444.10 = 8,440.85 : x
  2. Step 2: Convert to fraction form
    14,814.56/20,444.10 = 8,440.85/x
  3. Step 3: Cross multiply
    14,814.56x = 20,444.10 × 8,440.85
  4. Step 4: Simplify right side
    14,814.56x = 172,565,581.49
  5. Step 5: Solve for x
    x = 172,565,581.49/14,814.56
  6. Step 6: Final answer
    x = 11,648.38

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Why These Related Problems?

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