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Finding the Fourth Proportional to 21,144.80, 31,674.14 and 10,017.76

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Solution

The fourth proportional to 21,144.80, 31,674.14 and 10,017.76 is: 15,006.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,144.80 : 31,674.14 = 10,017.76 : x
  2. Step 2: Convert to fraction form
    21,144.80/31,674.14 = 10,017.76/x
  3. Step 3: Cross multiply
    21,144.80x = 31,674.14 × 10,017.76
  4. Step 4: Simplify right side
    21,144.80x = 317,303,932.73
  5. Step 5: Solve for x
    x = 317,303,932.73/21,144.80
  6. Step 6: Final answer
    x = 15,006.24

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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.