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Finding the Fourth Proportional to 14,306.63, 19,744.05 and 8,019

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Solution

The fourth proportional to 14,306.63, 19,744.05 and 8,019 is: 11,066.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,306.63 : 19,744.05 = 8,019 : x
  2. Step 2: Convert to fraction form
    14,306.63/19,744.05 = 8,019/x
  3. Step 3: Cross multiply
    14,306.63x = 19,744.05 × 8,019
  4. Step 4: Simplify right side
    14,306.63x = 158,327,567.02
  5. Step 5: Solve for x
    x = 158,327,567.02/14,306.63
  6. Step 6: Final answer
    x = 11,066.73

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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.