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Finding the Fourth Proportional to 22,722.95, 31,357.26 and 12,651.14

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Solution

The fourth proportional to 22,722.95, 31,357.26 and 12,651.14 is: 17,458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,722.95 : 31,357.26 = 12,651.14 : x
  2. Step 2: Convert to fraction form
    22,722.95/31,357.26 = 12,651.14/x
  3. Step 3: Cross multiply
    22,722.95x = 31,357.26 × 12,651.14
  4. Step 4: Simplify right side
    22,722.95x = 396,705,086.28
  5. Step 5: Solve for x
    x = 396,705,086.28/22,722.95
  6. Step 6: Final answer
    x = 17,458.34

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