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Finding the Fourth Proportional to 21,305.80, 31,968.30 and 10,208.20

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Solution

The fourth proportional to 21,305.80, 31,968.30 and 10,208.20 is: 15,316.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,305.80 : 31,968.30 = 10,208.20 : x
  2. Step 2: Convert to fraction form
    21,305.80/31,968.30 = 10,208.20/x
  3. Step 3: Cross multiply
    21,305.80x = 31,968.30 × 10,208.20
  4. Step 4: Simplify right side
    21,305.80x = 326,338,800.06
  5. Step 5: Solve for x
    x = 326,338,800.06/21,305.80
  6. Step 6: Final answer
    x = 15,316.90

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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.