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Finding the Fourth Proportional to 17,496.12, 24,143.82 and 9,733.62

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Solution

The fourth proportional to 17,496.12, 24,143.82 and 9,733.62 is: 13,431.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,496.12 : 24,143.82 = 9,733.62 : x
  2. Step 2: Convert to fraction form
    17,496.12/24,143.82 = 9,733.62/x
  3. Step 3: Cross multiply
    17,496.12x = 24,143.82 × 9,733.62
  4. Step 4: Simplify right side
    17,496.12x = 235,006,769.23
  5. Step 5: Solve for x
    x = 235,006,769.23/17,496.12
  6. Step 6: Final answer
    x = 13,431.94

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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.