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Finding the Fourth Proportional to 21,266.68, 31,905.12 and 10,170.16

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Solution

The fourth proportional to 21,266.68, 31,905.12 and 10,170.16 is: 15,257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,266.68 : 31,905.12 = 10,170.16 : x
  2. Step 2: Convert to fraction form
    21,266.68/31,905.12 = 10,170.16/x
  3. Step 3: Cross multiply
    21,266.68x = 31,905.12 × 10,170.16
  4. Step 4: Simplify right side
    21,266.68x = 324,480,175.22
  5. Step 5: Solve for x
    x = 324,480,175.22/21,266.68
  6. Step 6: Final answer
    x = 15,257.68

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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.