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Finding the Fourth Proportional to 14,212.16, 19,613.34 and 7,924.96

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Solution

The fourth proportional to 14,212.16, 19,613.34 and 7,924.96 is: 10,936.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,212.16 : 19,613.34 = 7,924.96 : x
  2. Step 2: Convert to fraction form
    14,212.16/19,613.34 = 7,924.96/x
  3. Step 3: Cross multiply
    14,212.16x = 19,613.34 × 7,924.96
  4. Step 4: Simplify right side
    14,212.16x = 155,434,934.97
  5. Step 5: Solve for x
    x = 155,434,934.97/14,212.16
  6. Step 6: Final answer
    x = 10,936.76

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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.