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Finding the Fourth Proportional to 21,134.25, 31,706.24 and 7,283.25

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Solution

The fourth proportional to 21,134.25, 31,706.24 and 7,283.25 is: 10,926.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,134.25 : 31,706.24 = 7,283.25 : x
  2. Step 2: Convert to fraction form
    21,134.25/31,706.24 = 7,283.25/x
  3. Step 3: Cross multiply
    21,134.25x = 31,706.24 × 7,283.25
  4. Step 4: Simplify right side
    21,134.25x = 230,924,436.06
  5. Step 5: Solve for x
    x = 230,924,436.06/21,134.25
  6. Step 6: Final answer
    x = 10,926.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.