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Finding the Fourth Proportional to 20,230.54, 30,347.63 and 6,899.02

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Solution

The fourth proportional to 20,230.54, 30,347.63 and 6,899.02 is: 10,349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,230.54 : 30,347.63 = 6,899.02 : x
  2. Step 2: Convert to fraction form
    20,230.54/30,347.63 = 6,899.02/x
  3. Step 3: Cross multiply
    20,230.54x = 30,347.63 × 6,899.02
  4. Step 4: Simplify right side
    20,230.54x = 209,368,906.32
  5. Step 5: Solve for x
    x = 209,368,906.32/20,230.54
  6. Step 6: Final answer
    x = 10,349.15

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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.