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Finding the Fourth Proportional to 24,605.14, 36,913.89 and 7,075

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Solution

The fourth proportional to 24,605.14, 36,913.89 and 7,075 is: 10,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,605.14 : 36,913.89 = 7,075 : x
  2. Step 2: Convert to fraction form
    24,605.14/36,913.89 = 7,075/x
  3. Step 3: Cross multiply
    24,605.14x = 36,913.89 × 7,075
  4. Step 4: Simplify right side
    24,605.14x = 261,165,771.75
  5. Step 5: Solve for x
    x = 261,165,771.75/24,605.14
  6. Step 6: Final answer
    x = 10,614.28

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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.