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Finding the Fourth Proportional to 15,926.84, 21,979.18 and 9,962

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Solution

The fourth proportional to 15,926.84, 21,979.18 and 9,962 is: 13,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,926.84 : 21,979.18 = 9,962 : x
  2. Step 2: Convert to fraction form
    15,926.84/21,979.18 = 9,962/x
  3. Step 3: Cross multiply
    15,926.84x = 21,979.18 × 9,962
  4. Step 4: Simplify right side
    15,926.84x = 218,956,591.16
  5. Step 5: Solve for x
    x = 218,956,591.16/15,926.84
  6. Step 6: Final answer
    x = 13,747.65

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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.