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Finding the Fourth Proportional to 20,257.56, 30,386.34 and 8,570.88

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Solution

The fourth proportional to 20,257.56, 30,386.34 and 8,570.88 is: 12,856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,257.56 : 30,386.34 = 8,570.88 : x
  2. Step 2: Convert to fraction form
    20,257.56/30,386.34 = 8,570.88/x
  3. Step 3: Cross multiply
    20,257.56x = 30,386.34 × 8,570.88
  4. Step 4: Simplify right side
    20,257.56x = 260,437,673.78
  5. Step 5: Solve for x
    x = 260,437,673.78/20,257.56
  6. Step 6: Final answer
    x = 12,856.32

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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.