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Finding the Fourth Proportional to 24,716.90, 37,057.74 and 11,562.10

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Solution

The fourth proportional to 24,716.90, 37,057.74 and 11,562.10 is: 17,334.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,716.90 : 37,057.74 = 11,562.10 : x
  2. Step 2: Convert to fraction form
    24,716.90/37,057.74 = 11,562.10/x
  3. Step 3: Cross multiply
    24,716.90x = 37,057.74 × 11,562.10
  4. Step 4: Simplify right side
    24,716.90x = 428,465,295.65
  5. Step 5: Solve for x
    x = 428,465,295.65/24,716.90
  6. Step 6: Final answer
    x = 17,334.91

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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.