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Finding the Fourth Proportional to 14,974.70, 20,671.73 and 9,672.10

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Solution

The fourth proportional to 14,974.70, 20,671.73 and 9,672.10 is: 13,351.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,974.70 : 20,671.73 = 9,672.10 : x
  2. Step 2: Convert to fraction form
    14,974.70/20,671.73 = 9,672.10/x
  3. Step 3: Cross multiply
    14,974.70x = 20,671.73 × 9,672.10
  4. Step 4: Simplify right side
    14,974.70x = 199,939,129.76
  5. Step 5: Solve for x
    x = 199,939,129.76/14,974.70
  6. Step 6: Final answer
    x = 13,351.79

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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.