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Finding the Fourth Proportional to 26,829, 37,025.64 and 16,221.24

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Solution

The fourth proportional to 26,829, 37,025.64 and 16,221.24 is: 22,386.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,829 : 37,025.64 = 16,221.24 : x
  2. Step 2: Convert to fraction form
    26,829/37,025.64 = 16,221.24/x
  3. Step 3: Cross multiply
    26,829x = 37,025.64 × 16,221.24
  4. Step 4: Simplify right side
    26,829x = 600,601,792.59
  5. Step 5: Solve for x
    x = 600,601,792.59/26,829
  6. Step 6: Final answer
    x = 22,386.29

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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.