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Finding the Fourth Proportional to 21,907.75, 30,232.70 and 11,971.75

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Solution

The fourth proportional to 21,907.75, 30,232.70 and 11,971.75 is: 16,521.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,907.75 : 30,232.70 = 11,971.75 : x
  2. Step 2: Convert to fraction form
    21,907.75/30,232.70 = 11,971.75/x
  3. Step 3: Cross multiply
    21,907.75x = 30,232.70 × 11,971.75
  4. Step 4: Simplify right side
    21,907.75x = 361,938,326.23
  5. Step 5: Solve for x
    x = 361,938,326.23/21,907.75
  6. Step 6: Final answer
    x = 16,521.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.