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Finding the Fourth Proportional to 30,314.69, 41,832.89 and 16,885.83

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Solution

The fourth proportional to 30,314.69, 41,832.89 and 16,885.83 is: 23,301.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,314.69 : 41,832.89 = 16,885.83 : x
  2. Step 2: Convert to fraction form
    30,314.69/41,832.89 = 16,885.83/x
  3. Step 3: Cross multiply
    30,314.69x = 41,832.89 × 16,885.83
  4. Step 4: Simplify right side
    30,314.69x = 706,382,984.52
  5. Step 5: Solve for x
    x = 706,382,984.52/30,314.69
  6. Step 6: Final answer
    x = 23,301.68

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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.