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Finding the Fourth Proportional to 22,944.26, 31,660.26 and 13,511

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Solution

The fourth proportional to 22,944.26, 31,660.26 and 13,511 is: 18,643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,944.26 : 31,660.26 = 13,511 : x
  2. Step 2: Convert to fraction form
    22,944.26/31,660.26 = 13,511/x
  3. Step 3: Cross multiply
    22,944.26x = 31,660.26 × 13,511
  4. Step 4: Simplify right side
    22,944.26x = 427,761,772.86
  5. Step 5: Solve for x
    x = 427,761,772.86/22,944.26
  6. Step 6: Final answer
    x = 18,643.52

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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.