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Finding the Fourth Proportional to 17,588.48, 24,272.66 and 10,519

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Solution

The fourth proportional to 17,588.48, 24,272.66 and 10,519 is: 14,516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,588.48 : 24,272.66 = 10,519 : x
  2. Step 2: Convert to fraction form
    17,588.48/24,272.66 = 10,519/x
  3. Step 3: Cross multiply
    17,588.48x = 24,272.66 × 10,519
  4. Step 4: Simplify right side
    17,588.48x = 255,324,110.54
  5. Step 5: Solve for x
    x = 255,324,110.54/17,588.48
  6. Step 6: Final answer
    x = 14,516.55

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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.