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Finding the Fourth Proportional to 22,760.16, 34,140.24 and 7,179

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Solution

The fourth proportional to 22,760.16, 34,140.24 and 7,179 is: 10,768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,760.16 : 34,140.24 = 7,179 : x
  2. Step 2: Convert to fraction form
    22,760.16/34,140.24 = 7,179/x
  3. Step 3: Cross multiply
    22,760.16x = 34,140.24 × 7,179
  4. Step 4: Simplify right side
    22,760.16x = 245,092,782.96
  5. Step 5: Solve for x
    x = 245,092,782.96/22,760.16
  6. Step 6: Final answer
    x = 10,768.50

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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.