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Finding the Fourth Proportional to 12,593.57, 18,878.05 and 6,334.80

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Solution

The fourth proportional to 12,593.57, 18,878.05 and 6,334.80 is: 9,496.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,593.57 : 18,878.05 = 6,334.80 : x
  2. Step 2: Convert to fraction form
    12,593.57/18,878.05 = 6,334.80/x
  3. Step 3: Cross multiply
    12,593.57x = 18,878.05 × 6,334.80
  4. Step 4: Simplify right side
    12,593.57x = 119,588,655.30
  5. Step 5: Solve for x
    x = 119,588,655.30/12,593.57
  6. Step 6: Final answer
    x = 9,496.01

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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.