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Finding the Fourth Proportional to 16,884.95, 23,301.14 and 9,331.80

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Solution

The fourth proportional to 16,884.95, 23,301.14 and 9,331.80 is: 12,877.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,884.95 : 23,301.14 = 9,331.80 : x
  2. Step 2: Convert to fraction form
    16,884.95/23,301.14 = 9,331.80/x
  3. Step 3: Cross multiply
    16,884.95x = 23,301.14 × 9,331.80
  4. Step 4: Simplify right side
    16,884.95x = 217,441,531.59
  5. Step 5: Solve for x
    x = 217,441,531.59/16,884.95
  6. Step 6: Final answer
    x = 12,877.83

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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.