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Finding the Fourth Proportional to 26,938.94, 40,411.15 and 7,219.49

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Solution

The fourth proportional to 26,938.94, 40,411.15 and 7,219.49 is: 10,829.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,938.94 : 40,411.15 = 7,219.49 : x
  2. Step 2: Convert to fraction form
    26,938.94/40,411.15 = 7,219.49/x
  3. Step 3: Cross multiply
    26,938.94x = 40,411.15 × 7,219.49
  4. Step 4: Simplify right side
    26,938.94x = 291,747,893.31
  5. Step 5: Solve for x
    x = 291,747,893.31/26,938.94
  6. Step 6: Final answer
    x = 10,829.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.