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Finding the Fourth Proportional to 22,858.52, 34,274.57 and 7,059.32

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Solution

The fourth proportional to 22,858.52, 34,274.57 and 7,059.32 is: 10,584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,858.52 : 34,274.57 = 7,059.32 : x
  2. Step 2: Convert to fraction form
    22,858.52/34,274.57 = 7,059.32/x
  3. Step 3: Cross multiply
    22,858.52x = 34,274.57 × 7,059.32
  4. Step 4: Simplify right side
    22,858.52x = 241,954,950.82
  5. Step 5: Solve for x
    x = 241,954,950.82/22,858.52
  6. Step 6: Final answer
    x = 10,584.89

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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.