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Finding the Fourth Proportional to 22,898.94, 34,338.50 and 7,907.64

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Solution

The fourth proportional to 22,898.94, 34,338.50 and 7,907.64 is: 11,858.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,898.94 : 34,338.50 = 7,907.64 : x
  2. Step 2: Convert to fraction form
    22,898.94/34,338.50 = 7,907.64/x
  3. Step 3: Cross multiply
    22,898.94x = 34,338.50 × 7,907.64
  4. Step 4: Simplify right side
    22,898.94x = 271,536,496.14
  5. Step 5: Solve for x
    x = 271,536,496.14/22,898.94
  6. Step 6: Final answer
    x = 11,858.04

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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.