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Finding the Fourth Proportional to 20,127.92, 30,191.88 and 6,278

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Solution

The fourth proportional to 20,127.92, 30,191.88 and 6,278 is: 9,417.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,127.92 : 30,191.88 = 6,278 : x
  2. Step 2: Convert to fraction form
    20,127.92/30,191.88 = 6,278/x
  3. Step 3: Cross multiply
    20,127.92x = 30,191.88 × 6,278
  4. Step 4: Simplify right side
    20,127.92x = 189,544,622.64
  5. Step 5: Solve for x
    x = 189,544,622.64/20,127.92
  6. Step 6: Final answer
    x = 9,417.00

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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.