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Finding the Fourth Proportional to 13,694.72, 20,542.56 and 9,075.20

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Solution

The fourth proportional to 13,694.72, 20,542.56 and 9,075.20 is: 13,613.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.72 : 20,542.56 = 9,075.20 : x
  2. Step 2: Convert to fraction form
    13,694.72/20,542.56 = 9,075.20/x
  3. Step 3: Cross multiply
    13,694.72x = 20,542.56 × 9,075.20
  4. Step 4: Simplify right side
    13,694.72x = 186,427,840.51
  5. Step 5: Solve for x
    x = 186,427,840.51/13,694.72
  6. Step 6: Final answer
    x = 13,613.12

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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.