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Finding the Fourth Proportional to 21,907.82, 32,866.97 and 7,674.55

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Solution

The fourth proportional to 21,907.82, 32,866.97 and 7,674.55 is: 11,513.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,907.82 : 32,866.97 = 7,674.55 : x
  2. Step 2: Convert to fraction form
    21,907.82/32,866.97 = 7,674.55/x
  3. Step 3: Cross multiply
    21,907.82x = 32,866.97 × 7,674.55
  4. Step 4: Simplify right side
    21,907.82x = 252,239,084.07
  5. Step 5: Solve for x
    x = 252,239,084.07/21,907.82
  6. Step 6: Final answer
    x = 11,513.66

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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.