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Finding the Fourth Proportional to 22,993.17, 31,657.83 and 20,891.01

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Solution

The fourth proportional to 22,993.17, 31,657.83 and 20,891.01 is: 28,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,993.17 : 31,657.83 = 20,891.01 : x
  2. Step 2: Convert to fraction form
    22,993.17/31,657.83 = 20,891.01/x
  3. Step 3: Cross multiply
    22,993.17x = 31,657.83 × 20,891.01
  4. Step 4: Simplify right side
    22,993.17x = 661,364,043.11
  5. Step 5: Solve for x
    x = 661,364,043.11/22,993.17
  6. Step 6: Final answer
    x = 28,763.50

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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.