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Finding the Fourth Proportional to 21,301.71, 31,906 and 17,561.94

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Solution

The fourth proportional to 21,301.71, 31,906 and 17,561.94 is: 26,304.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,301.71 : 31,906 = 17,561.94 : x
  2. Step 2: Convert to fraction form
    21,301.71/31,906 = 17,561.94/x
  3. Step 3: Cross multiply
    21,301.71x = 31,906 × 17,561.94
  4. Step 4: Simplify right side
    21,301.71x = 560,331,257.64
  5. Step 5: Solve for x
    x = 560,331,257.64/21,301.71
  6. Step 6: Final answer
    x = 26,304.52

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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.