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Finding the Fourth Proportional to 15,202.56, 22,790.52 and 6,443.76

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Solution

The fourth proportional to 15,202.56, 22,790.52 and 6,443.76 is: 9,659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202.56 : 22,790.52 = 6,443.76 : x
  2. Step 2: Convert to fraction form
    15,202.56/22,790.52 = 6,443.76/x
  3. Step 3: Cross multiply
    15,202.56x = 22,790.52 × 6,443.76
  4. Step 4: Simplify right side
    15,202.56x = 146,856,641.16
  5. Step 5: Solve for x
    x = 146,856,641.16/15,202.56
  6. Step 6: Final answer
    x = 9,659.99

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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.