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Finding the Fourth Proportional to 12,570.82, 18,864.19 and 7,027.80

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Solution

The fourth proportional to 12,570.82, 18,864.19 and 7,027.80 is: 10,546.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570.82 : 18,864.19 = 7,027.80 : x
  2. Step 2: Convert to fraction form
    12,570.82/18,864.19 = 7,027.80/x
  3. Step 3: Cross multiply
    12,570.82x = 18,864.19 × 7,027.80
  4. Step 4: Simplify right side
    12,570.82x = 132,573,849.50
  5. Step 5: Solve for x
    x = 132,573,849.50/12,570.82
  6. Step 6: Final answer
    x = 10,546.15

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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.