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Finding the Fourth Proportional to 18,075.48, 27,118.14 and 7,542

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Solution

The fourth proportional to 18,075.48, 27,118.14 and 7,542 is: 11,315.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,075.48 : 27,118.14 = 7,542 : x
  2. Step 2: Convert to fraction form
    18,075.48/27,118.14 = 7,542/x
  3. Step 3: Cross multiply
    18,075.48x = 27,118.14 × 7,542
  4. Step 4: Simplify right side
    18,075.48x = 204,525,011.88
  5. Step 5: Solve for x
    x = 204,525,011.88/18,075.48
  6. Step 6: Final answer
    x = 11,315.05

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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.