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Finding the Fourth Proportional to 25,216.26, 37,842.60 and 9,633.90

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Solution

The fourth proportional to 25,216.26, 37,842.60 and 9,633.90 is: 14,457.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,216.26 : 37,842.60 = 9,633.90 : x
  2. Step 2: Convert to fraction form
    25,216.26/37,842.60 = 9,633.90/x
  3. Step 3: Cross multiply
    25,216.26x = 37,842.60 × 9,633.90
  4. Step 4: Simplify right side
    25,216.26x = 364,571,824.14
  5. Step 5: Solve for x
    x = 364,571,824.14/25,216.26
  6. Step 6: Final answer
    x = 14,457.81

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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.