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Finding the Fourth Proportional to 22,942, 31,722.28 and 19,989.52

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Solution

The fourth proportional to 22,942, 31,722.28 and 19,989.52 is: 27,639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,942 : 31,722.28 = 19,989.52 : x
  2. Step 2: Convert to fraction form
    22,942/31,722.28 = 19,989.52/x
  3. Step 3: Cross multiply
    22,942x = 31,722.28 × 19,989.52
  4. Step 4: Simplify right side
    22,942x = 634,113,150.51
  5. Step 5: Solve for x
    x = 634,113,150.51/22,942
  6. Step 6: Final answer
    x = 27,639.84

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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.