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Finding the Fourth Proportional to 20,271.94, 30,407.01 and 6,231.40

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Solution

The fourth proportional to 20,271.94, 30,407.01 and 6,231.40 is: 9,346.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,271.94 : 30,407.01 = 6,231.40 : x
  2. Step 2: Convert to fraction form
    20,271.94/30,407.01 = 6,231.40/x
  3. Step 3: Cross multiply
    20,271.94x = 30,407.01 × 6,231.40
  4. Step 4: Simplify right side
    20,271.94x = 189,478,242.11
  5. Step 5: Solve for x
    x = 189,478,242.11/20,271.94
  6. Step 6: Final answer
    x = 9,346.82

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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.