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Finding the Fourth Proportional to 12,570.87, 18,864.26 and 7,027.86

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Solution

The fourth proportional to 12,570.87, 18,864.26 and 7,027.86 is: 10,546.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570.87 : 18,864.26 = 7,027.86 : x
  2. Step 2: Convert to fraction form
    12,570.87/18,864.26 = 7,027.86/x
  3. Step 3: Cross multiply
    12,570.87x = 18,864.26 × 7,027.86
  4. Step 4: Simplify right side
    12,570.87x = 132,575,378.28
  5. Step 5: Solve for x
    x = 132,575,378.28/12,570.87
  6. Step 6: Final answer
    x = 10,546.24

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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.