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Finding the Fourth Proportional to 24,543.38, 36,815.08 and 6,075.38

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Solution

The fourth proportional to 24,543.38, 36,815.08 and 6,075.38 is: 9,113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,543.38 : 36,815.08 = 6,075.38 : x
  2. Step 2: Convert to fraction form
    24,543.38/36,815.08 = 6,075.38/x
  3. Step 3: Cross multiply
    24,543.38x = 36,815.08 × 6,075.38
  4. Step 4: Simplify right side
    24,543.38x = 223,665,600.73
  5. Step 5: Solve for x
    x = 223,665,600.73/24,543.38
  6. Step 6: Final answer
    x = 9,113.07

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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.