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Finding the Fourth Proportional to 24,075.75, 36,130.13 and 8,493.38

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Solution

The fourth proportional to 24,075.75, 36,130.13 and 8,493.38 is: 12,745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,075.75 : 36,130.13 = 8,493.38 : x
  2. Step 2: Convert to fraction form
    24,075.75/36,130.13 = 8,493.38/x
  3. Step 3: Cross multiply
    24,075.75x = 36,130.13 × 8,493.38
  4. Step 4: Simplify right side
    24,075.75x = 306,866,923.54
  5. Step 5: Solve for x
    x = 306,866,923.54/24,075.75
  6. Step 6: Final answer
    x = 12,745.89

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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.