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Finding the Fourth Proportional to 21,159, 31,736.82 and 10,618.26

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Solution

The fourth proportional to 21,159, 31,736.82 and 10,618.26 is: 15,926.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,159 : 31,736.82 = 10,618.26 : x
  2. Step 2: Convert to fraction form
    21,159/31,736.82 = 10,618.26/x
  3. Step 3: Cross multiply
    21,159x = 31,736.82 × 10,618.26
  4. Step 4: Simplify right side
    21,159x = 336,989,806.33
  5. Step 5: Solve for x
    x = 336,989,806.33/21,159
  6. Step 6: Final answer
    x = 15,926.55

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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.