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Finding the Fourth Proportional to 14,306.63, 19,744.31 and 7,933.85

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Solution

The fourth proportional to 14,306.63, 19,744.31 and 7,933.85 is: 10,949.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,306.63 : 19,744.31 = 7,933.85 : x
  2. Step 2: Convert to fraction form
    14,306.63/19,744.31 = 7,933.85/x
  3. Step 3: Cross multiply
    14,306.63x = 19,744.31 × 7,933.85
  4. Step 4: Simplify right side
    14,306.63x = 156,648,393.89
  5. Step 5: Solve for x
    x = 156,648,393.89/14,306.63
  6. Step 6: Final answer
    x = 10,949.36

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