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Finding the Fourth Proportional to 12,204.77, 18,294.99 and 8,507.93

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Solution

The fourth proportional to 12,204.77, 18,294.99 and 8,507.93 is: 12,753.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.77 : 18,294.99 = 8,507.93 : x
  2. Step 2: Convert to fraction form
    12,204.77/18,294.99 = 8,507.93/x
  3. Step 3: Cross multiply
    12,204.77x = 18,294.99 × 8,507.93
  4. Step 4: Simplify right side
    12,204.77x = 155,652,494.27
  5. Step 5: Solve for x
    x = 155,652,494.27/12,204.77
  6. Step 6: Final answer
    x = 12,753.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.