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Finding the Fourth Proportional to 21,907.46, 30,232.28 and 11,971.46

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Solution

The fourth proportional to 21,907.46, 30,232.28 and 11,971.46 is: 16,520.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,907.46 : 30,232.28 = 11,971.46 : x
  2. Step 2: Convert to fraction form
    21,907.46/30,232.28 = 11,971.46/x
  3. Step 3: Cross multiply
    21,907.46x = 30,232.28 × 11,971.46
  4. Step 4: Simplify right side
    21,907.46x = 361,924,470.87
  5. Step 5: Solve for x
    x = 361,924,470.87/21,907.46
  6. Step 6: Final answer
    x = 16,520.60

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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.