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Finding the Fourth Proportional to 17,824.72, 26,728.08 and 10,431.40

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Solution

The fourth proportional to 17,824.72, 26,728.08 and 10,431.40 is: 15,641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824.72 : 26,728.08 = 10,431.40 : x
  2. Step 2: Convert to fraction form
    17,824.72/26,728.08 = 10,431.40/x
  3. Step 3: Cross multiply
    17,824.72x = 26,728.08 × 10,431.40
  4. Step 4: Simplify right side
    17,824.72x = 278,811,293.71
  5. Step 5: Solve for x
    x = 278,811,293.71/17,824.72
  6. Step 6: Final answer
    x = 15,641.83

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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.