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Finding the Fourth Proportional to 25,214.83, 37,804.70 and 11,167.22

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Solution

The fourth proportional to 25,214.83, 37,804.70 and 11,167.22 is: 16,743.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,214.83 : 37,804.70 = 11,167.22 : x
  2. Step 2: Convert to fraction form
    25,214.83/37,804.70 = 11,167.22/x
  3. Step 3: Cross multiply
    25,214.83x = 37,804.70 × 11,167.22
  4. Step 4: Simplify right side
    25,214.83x = 422,173,524.36
  5. Step 5: Solve for x
    x = 422,173,524.36/25,214.83
  6. Step 6: Final answer
    x = 16,743.07

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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.