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Finding the Fourth Proportional to 22,960.56, 34,444.44 and 9,813

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Solution

The fourth proportional to 22,960.56, 34,444.44 and 9,813 is: 14,721.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,960.56 : 34,444.44 = 9,813 : x
  2. Step 2: Convert to fraction form
    22,960.56/34,444.44 = 9,813/x
  3. Step 3: Cross multiply
    22,960.56x = 34,444.44 × 9,813
  4. Step 4: Simplify right side
    22,960.56x = 338,003,289.72
  5. Step 5: Solve for x
    x = 338,003,289.72/22,960.56
  6. Step 6: Final answer
    x = 14,721.04

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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.