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Finding the Fourth Proportional to 13,381.88, 20,075.64 and 5,061.71

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Solution

The fourth proportional to 13,381.88, 20,075.64 and 5,061.71 is: 7,593.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.88 : 20,075.64 = 5,061.71 : x
  2. Step 2: Convert to fraction form
    13,381.88/20,075.64 = 5,061.71/x
  3. Step 3: Cross multiply
    13,381.88x = 20,075.64 × 5,061.71
  4. Step 4: Simplify right side
    13,381.88x = 101,617,067.74
  5. Step 5: Solve for x
    x = 101,617,067.74/13,381.88
  6. Step 6: Final answer
    x = 7,593.63

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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.