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Finding the Fourth Proportional to 16,567.74, 22,863.60 and 9,014.22

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Solution

The fourth proportional to 16,567.74, 22,863.60 and 9,014.22 is: 12,439.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,567.74 : 22,863.60 = 9,014.22 : x
  2. Step 2: Convert to fraction form
    16,567.74/22,863.60 = 9,014.22/x
  3. Step 3: Cross multiply
    16,567.74x = 22,863.60 × 9,014.22
  4. Step 4: Simplify right side
    16,567.74x = 206,097,520.39
  5. Step 5: Solve for x
    x = 206,097,520.39/16,567.74
  6. Step 6: Final answer
    x = 12,439.69

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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.