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Finding the Fourth Proportional to 15,884.31, 21,934.28 and 9,926.16

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Solution

The fourth proportional to 15,884.31, 21,934.28 and 9,926.16 is: 13,706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884.31 : 21,934.28 = 9,926.16 : x
  2. Step 2: Convert to fraction form
    15,884.31/21,934.28 = 9,926.16/x
  3. Step 3: Cross multiply
    15,884.31x = 21,934.28 × 9,926.16
  4. Step 4: Simplify right side
    15,884.31x = 217,723,172.76
  5. Step 5: Solve for x
    x = 217,723,172.76/15,884.31
  6. Step 6: Final answer
    x = 13,706.81

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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.