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Finding the Fourth Proportional to 30,225.67, 41,709.66 and 16,796.14

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Solution

The fourth proportional to 30,225.67, 41,709.66 and 16,796.14 is: 23,177.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,225.67 : 41,709.66 = 16,796.14 : x
  2. Step 2: Convert to fraction form
    30,225.67/41,709.66 = 16,796.14/x
  3. Step 3: Cross multiply
    30,225.67x = 41,709.66 × 16,796.14
  4. Step 4: Simplify right side
    30,225.67x = 700,561,288.71
  5. Step 5: Solve for x
    x = 700,561,288.71/30,225.67
  6. Step 6: Final answer
    x = 23,177.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.