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Finding the Fourth Proportional to 13,972.81, 19,282.39 and 7,924.20

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Solution

The fourth proportional to 13,972.81, 19,282.39 and 7,924.20 is: 10,935.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,972.81 : 19,282.39 = 7,924.20 : x
  2. Step 2: Convert to fraction form
    13,972.81/19,282.39 = 7,924.20/x
  3. Step 3: Cross multiply
    13,972.81x = 19,282.39 × 7,924.20
  4. Step 4: Simplify right side
    13,972.81x = 152,797,514.84
  5. Step 5: Solve for x
    x = 152,797,514.84/13,972.81
  6. Step 6: Final answer
    x = 10,935.35

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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.