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Finding the Fourth Proportional to 14,306.42, 19,744.02 and 7,933.65

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Solution

The fourth proportional to 14,306.42, 19,744.02 and 7,933.65 is: 10,949.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,306.42 : 19,744.02 = 7,933.65 : x
  2. Step 2: Convert to fraction form
    14,306.42/19,744.02 = 7,933.65/x
  3. Step 3: Cross multiply
    14,306.42x = 19,744.02 × 7,933.65
  4. Step 4: Simplify right side
    14,306.42x = 156,642,070.23
  5. Step 5: Solve for x
    x = 156,642,070.23/14,306.42
  6. Step 6: Final answer
    x = 10,949.07

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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.