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Finding the Fourth Proportional to 21,954.86, 32,932.32 and 10,276.28

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Solution

The fourth proportional to 21,954.86, 32,932.32 and 10,276.28 is: 15,414.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,954.86 : 32,932.32 = 10,276.28 : x
  2. Step 2: Convert to fraction form
    21,954.86/32,932.32 = 10,276.28/x
  3. Step 3: Cross multiply
    21,954.86x = 32,932.32 × 10,276.28
  4. Step 4: Simplify right side
    21,954.86x = 338,421,689.99
  5. Step 5: Solve for x
    x = 338,421,689.99/21,954.86
  6. Step 6: Final answer
    x = 15,414.43

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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.