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Finding the Fourth Proportional to 24,713.38, 37,075.52 and 7,184.57

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Solution

The fourth proportional to 24,713.38, 37,075.52 and 7,184.57 is: 10,778.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,713.38 : 37,075.52 = 7,184.57 : x
  2. Step 2: Convert to fraction form
    24,713.38/37,075.52 = 7,184.57/x
  3. Step 3: Cross multiply
    24,713.38x = 37,075.52 × 7,184.57
  4. Step 4: Simplify right side
    24,713.38x = 266,371,725.49
  5. Step 5: Solve for x
    x = 266,371,725.49/24,713.38
  6. Step 6: Final answer
    x = 10,778.44

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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.