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Finding the Fourth Proportional to 22,557.96, 31,097.39 and 15,822.68

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Solution

The fourth proportional to 22,557.96, 31,097.39 and 15,822.68 is: 21,812.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,557.96 : 31,097.39 = 15,822.68 : x
  2. Step 2: Convert to fraction form
    22,557.96/31,097.39 = 15,822.68/x
  3. Step 3: Cross multiply
    22,557.96x = 31,097.39 × 15,822.68
  4. Step 4: Simplify right side
    22,557.96x = 492,043,816.20
  5. Step 5: Solve for x
    x = 492,043,816.20/22,557.96
  6. Step 6: Final answer
    x = 21,812.43

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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.