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Finding the Fourth Proportional to 22,856.56, 34,288.44 and 9,709

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Solution

The fourth proportional to 22,856.56, 34,288.44 and 9,709 is: 14,565.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,856.56 : 34,288.44 = 9,709 : x
  2. Step 2: Convert to fraction form
    22,856.56/34,288.44 = 9,709/x
  3. Step 3: Cross multiply
    22,856.56x = 34,288.44 × 9,709
  4. Step 4: Simplify right side
    22,856.56x = 332,906,463.96
  5. Step 5: Solve for x
    x = 332,906,463.96/22,856.56
  6. Step 6: Final answer
    x = 14,565.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.