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Finding the Fourth Proportional to 21,231.68, 31,846.98 and 10,146.20

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Solution

The fourth proportional to 21,231.68, 31,846.98 and 10,146.20 is: 15,219.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,231.68 : 31,846.98 = 10,146.20 : x
  2. Step 2: Convert to fraction form
    21,231.68/31,846.98 = 10,146.20/x
  3. Step 3: Cross multiply
    21,231.68x = 31,846.98 × 10,146.20
  4. Step 4: Simplify right side
    21,231.68x = 323,125,828.48
  5. Step 5: Solve for x
    x = 323,125,828.48/21,231.68
  6. Step 6: Final answer
    x = 15,219.04

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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.