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Finding the Fourth Proportional to 16,567.08, 22,861.54 and 9,115.08

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Solution

The fourth proportional to 16,567.08, 22,861.54 and 9,115.08 is: 12,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,567.08 : 22,861.54 = 9,115.08 : x
  2. Step 2: Convert to fraction form
    16,567.08/22,861.54 = 9,115.08/x
  3. Step 3: Cross multiply
    16,567.08x = 22,861.54 × 9,115.08
  4. Step 4: Simplify right side
    16,567.08x = 208,384,766.02
  5. Step 5: Solve for x
    x = 208,384,766.02/16,567.08
  6. Step 6: Final answer
    x = 12,578.24

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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.