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Finding the Fourth Proportional to 16,104.68, 22,224.66 and 9,817.64

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Solution

The fourth proportional to 16,104.68, 22,224.66 and 9,817.64 is: 13,548.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,104.68 : 22,224.66 = 9,817.64 : x
  2. Step 2: Convert to fraction form
    16,104.68/22,224.66 = 9,817.64/x
  3. Step 3: Cross multiply
    16,104.68x = 22,224.66 × 9,817.64
  4. Step 4: Simplify right side
    16,104.68x = 218,193,711.00
  5. Step 5: Solve for x
    x = 218,193,711.00/16,104.68
  6. Step 6: Final answer
    x = 13,548.47

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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.