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Finding the Fourth Proportional to 13,578.48, 18,712.90 and 10,589.58

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Solution

The fourth proportional to 13,578.48, 18,712.90 and 10,589.58 is: 14,593.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.48 : 18,712.90 = 10,589.58 : x
  2. Step 2: Convert to fraction form
    13,578.48/18,712.90 = 10,589.58/x
  3. Step 3: Cross multiply
    13,578.48x = 18,712.90 × 10,589.58
  4. Step 4: Simplify right side
    13,578.48x = 198,161,751.58
  5. Step 5: Solve for x
    x = 198,161,751.58/13,578.48
  6. Step 6: Final answer
    x = 14,593.81

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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.