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Finding the Fourth Proportional to 21,164.40, 31,754.70 and 9,469.22

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Solution

The fourth proportional to 21,164.40, 31,754.70 and 9,469.22 is: 14,207.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,164.40 : 31,754.70 = 9,469.22 : x
  2. Step 2: Convert to fraction form
    21,164.40/31,754.70 = 9,469.22/x
  3. Step 3: Cross multiply
    21,164.40x = 31,754.70 × 9,469.22
  4. Step 4: Simplify right side
    21,164.40x = 300,692,081.56
  5. Step 5: Solve for x
    x = 300,692,081.56/21,164.40
  6. Step 6: Final answer
    x = 14,207.45

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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.