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Finding the Fourth Proportional to 22,828.80, 34,249.20 and 7,246.40

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Solution

The fourth proportional to 22,828.80, 34,249.20 and 7,246.40 is: 10,871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,828.80 : 34,249.20 = 7,246.40 : x
  2. Step 2: Convert to fraction form
    22,828.80/34,249.20 = 7,246.40/x
  3. Step 3: Cross multiply
    22,828.80x = 34,249.20 × 7,246.40
  4. Step 4: Simplify right side
    22,828.80x = 248,183,402.88
  5. Step 5: Solve for x
    x = 248,183,402.88/22,828.80
  6. Step 6: Final answer
    x = 10,871.50

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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.