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Finding the Fourth Proportional to 17,583.57, 24,262.07 and 10,508.49

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Solution

The fourth proportional to 17,583.57, 24,262.07 and 10,508.49 is: 14,499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,583.57 : 24,262.07 = 10,508.49 : x
  2. Step 2: Convert to fraction form
    17,583.57/24,262.07 = 10,508.49/x
  3. Step 3: Cross multiply
    17,583.57x = 24,262.07 × 10,508.49
  4. Step 4: Simplify right side
    17,583.57x = 254,957,667.43
  5. Step 5: Solve for x
    x = 254,957,667.43/17,583.57
  6. Step 6: Final answer
    x = 14,499.77

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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.