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Finding the Fourth Proportional to 24,723.67, 37,085.50 and 16,419.90

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Solution

The fourth proportional to 24,723.67, 37,085.50 and 16,419.90 is: 24,629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,723.67 : 37,085.50 = 16,419.90 : x
  2. Step 2: Convert to fraction form
    24,723.67/37,085.50 = 16,419.90/x
  3. Step 3: Cross multiply
    24,723.67x = 37,085.50 × 16,419.90
  4. Step 4: Simplify right side
    24,723.67x = 608,940,201.45
  5. Step 5: Solve for x
    x = 608,940,201.45/24,723.67
  6. Step 6: Final answer
    x = 24,629.85

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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.