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Finding the Fourth Proportional to 16,522.82, 24,781.36 and 5,429.58

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Solution

The fourth proportional to 16,522.82, 24,781.36 and 5,429.58 is: 8,143.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,522.82 : 24,781.36 = 5,429.58 : x
  2. Step 2: Convert to fraction form
    16,522.82/24,781.36 = 5,429.58/x
  3. Step 3: Cross multiply
    16,522.82x = 24,781.36 × 5,429.58
  4. Step 4: Simplify right side
    16,522.82x = 134,552,376.63
  5. Step 5: Solve for x
    x = 134,552,376.63/16,522.82
  6. Step 6: Final answer
    x = 8,143.43

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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.