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Finding the Fourth Proportional to 14,472.68, 19,974.60 and 8,505.81

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Solution

The fourth proportional to 14,472.68, 19,974.60 and 8,505.81 is: 11,739.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,472.68 : 19,974.60 = 8,505.81 : x
  2. Step 2: Convert to fraction form
    14,472.68/19,974.60 = 8,505.81/x
  3. Step 3: Cross multiply
    14,472.68x = 19,974.60 × 8,505.81
  4. Step 4: Simplify right side
    14,472.68x = 169,900,152.43
  5. Step 5: Solve for x
    x = 169,900,152.43/14,472.68
  6. Step 6: Final answer
    x = 11,739.37

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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.