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Finding the Fourth Proportional to 21,797.88, 32,711.18 and 11,944.07

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Solution

The fourth proportional to 21,797.88, 32,711.18 and 11,944.07 is: 17,923.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,797.88 : 32,711.18 = 11,944.07 : x
  2. Step 2: Convert to fraction form
    21,797.88/32,711.18 = 11,944.07/x
  3. Step 3: Cross multiply
    21,797.88x = 32,711.18 × 11,944.07
  4. Step 4: Simplify right side
    21,797.88x = 390,704,707.09
  5. Step 5: Solve for x
    x = 390,704,707.09/21,797.88
  6. Step 6: Final answer
    x = 17,923.98

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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.