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Finding the Fourth Proportional to 14,600.95, 20,149.32 and 8,313.32

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Solution

The fourth proportional to 14,600.95, 20,149.32 and 8,313.32 is: 11,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,600.95 : 20,149.32 = 8,313.32 : x
  2. Step 2: Convert to fraction form
    14,600.95/20,149.32 = 8,313.32/x
  3. Step 3: Cross multiply
    14,600.95x = 20,149.32 × 8,313.32
  4. Step 4: Simplify right side
    14,600.95x = 167,507,744.94
  5. Step 5: Solve for x
    x = 167,507,744.94/14,600.95
  6. Step 6: Final answer
    x = 11,472.39

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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.