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Finding the Fourth Proportional to 20,298.37, 30,447.19 and 7,821.10

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Solution

The fourth proportional to 20,298.37, 30,447.19 and 7,821.10 is: 11,731.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,298.37 : 30,447.19 = 7,821.10 : x
  2. Step 2: Convert to fraction form
    20,298.37/30,447.19 = 7,821.10/x
  3. Step 3: Cross multiply
    20,298.37x = 30,447.19 × 7,821.10
  4. Step 4: Simplify right side
    20,298.37x = 238,130,517.71
  5. Step 5: Solve for x
    x = 238,130,517.71/20,298.37
  6. Step 6: Final answer
    x = 11,731.51

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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.