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Finding the Fourth Proportional to 16,885.38, 25,332.96 and 5,200.32

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Solution

The fourth proportional to 16,885.38, 25,332.96 and 5,200.32 is: 7,801.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,885.38 : 25,332.96 = 5,200.32 : x
  2. Step 2: Convert to fraction form
    16,885.38/25,332.96 = 5,200.32/x
  3. Step 3: Cross multiply
    16,885.38x = 25,332.96 × 5,200.32
  4. Step 4: Simplify right side
    16,885.38x = 131,739,498.55
  5. Step 5: Solve for x
    x = 131,739,498.55/16,885.38
  6. Step 6: Final answer
    x = 7,801.99

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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.