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Finding the Fourth Proportional to 21,343.68, 31,970.88 and 17,161.07

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Solution

The fourth proportional to 21,343.68, 31,970.88 and 17,161.07 is: 25,705.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,343.68 : 31,970.88 = 17,161.07 : x
  2. Step 2: Convert to fraction form
    21,343.68/31,970.88 = 17,161.07/x
  3. Step 3: Cross multiply
    21,343.68x = 31,970.88 × 17,161.07
  4. Step 4: Simplify right side
    21,343.68x = 548,654,349.79
  5. Step 5: Solve for x
    x = 548,654,349.79/21,343.68
  6. Step 6: Final answer
    x = 25,705.71

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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.