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Finding the Fourth Proportional to 26,142.94, 39,202.11 and 9,491.21

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Solution

The fourth proportional to 26,142.94, 39,202.11 and 9,491.21 is: 14,232.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,142.94 : 39,202.11 = 9,491.21 : x
  2. Step 2: Convert to fraction form
    26,142.94/39,202.11 = 9,491.21/x
  3. Step 3: Cross multiply
    26,142.94x = 39,202.11 × 9,491.21
  4. Step 4: Simplify right side
    26,142.94x = 372,075,458.45
  5. Step 5: Solve for x
    x = 372,075,458.45/26,142.94
  6. Step 6: Final answer
    x = 14,232.35

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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.