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Finding the Fourth Proportional to 22,641.30, 33,907.23 and 11,518.74

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Solution

The fourth proportional to 22,641.30, 33,907.23 and 11,518.74 is: 17,250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641.30 : 33,907.23 = 11,518.74 : x
  2. Step 2: Convert to fraction form
    22,641.30/33,907.23 = 11,518.74/x
  3. Step 3: Cross multiply
    22,641.30x = 33,907.23 × 11,518.74
  4. Step 4: Simplify right side
    22,641.30x = 390,568,566.49
  5. Step 5: Solve for x
    x = 390,568,566.49/22,641.30
  6. Step 6: Final answer
    x = 17,250.27

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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.