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Finding the Fourth Proportional to 12,109.50, 16,693.83 and 8,580.78

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Solution

The fourth proportional to 12,109.50, 16,693.83 and 8,580.78 is: 11,829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.50 : 16,693.83 = 8,580.78 : x
  2. Step 2: Convert to fraction form
    12,109.50/16,693.83 = 8,580.78/x
  3. Step 3: Cross multiply
    12,109.50x = 16,693.83 × 8,580.78
  4. Step 4: Simplify right side
    12,109.50x = 143,246,082.59
  5. Step 5: Solve for x
    x = 143,246,082.59/12,109.50
  6. Step 6: Final answer
    x = 11,829.23

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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.