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Finding the Fourth Proportional to 26,907.85, 40,361.81 and 12,864.57

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Solution

The fourth proportional to 26,907.85, 40,361.81 and 12,864.57 is: 19,296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,907.85 : 40,361.81 = 12,864.57 : x
  2. Step 2: Convert to fraction form
    26,907.85/40,361.81 = 12,864.57/x
  3. Step 3: Cross multiply
    26,907.85x = 40,361.81 × 12,864.57
  4. Step 4: Simplify right side
    26,907.85x = 519,237,417.11
  5. Step 5: Solve for x
    x = 519,237,417.11/26,907.85
  6. Step 6: Final answer
    x = 19,296.88

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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.