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Finding the Fourth Proportional to 22,913.36, 34,346.58 and 9,757.28

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Solution

The fourth proportional to 22,913.36, 34,346.58 and 9,757.28 is: 14,625.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,913.36 : 34,346.58 = 9,757.28 : x
  2. Step 2: Convert to fraction form
    22,913.36/34,346.58 = 9,757.28/x
  3. Step 3: Cross multiply
    22,913.36x = 34,346.58 × 9,757.28
  4. Step 4: Simplify right side
    22,913.36x = 335,129,198.10
  5. Step 5: Solve for x
    x = 335,129,198.10/22,913.36
  6. Step 6: Final answer
    x = 14,625.93

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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.