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Finding the Fourth Proportional to 22,907.76, 34,368.24 and 11,227.44

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Solution

The fourth proportional to 22,907.76, 34,368.24 and 11,227.44 is: 16,844.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,907.76 : 34,368.24 = 11,227.44 : x
  2. Step 2: Convert to fraction form
    22,907.76/34,368.24 = 11,227.44/x
  3. Step 3: Cross multiply
    22,907.76x = 34,368.24 × 11,227.44
  4. Step 4: Simplify right side
    22,907.76x = 385,867,352.51
  5. Step 5: Solve for x
    x = 385,867,352.51/22,907.76
  6. Step 6: Final answer
    x = 16,844.39

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1.5x scale

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.