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Finding the Fourth Proportional to 16,837.34, 25,271.63 and 8,523.24

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Solution

The fourth proportional to 16,837.34, 25,271.63 and 8,523.24 is: 12,792.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,837.34 : 25,271.63 = 8,523.24 : x
  2. Step 2: Convert to fraction form
    16,837.34/25,271.63 = 8,523.24/x
  3. Step 3: Cross multiply
    16,837.34x = 25,271.63 × 8,523.24
  4. Step 4: Simplify right side
    16,837.34x = 215,396,125.07
  5. Step 5: Solve for x
    x = 215,396,125.07/16,837.34
  6. Step 6: Final answer
    x = 12,792.77

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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.