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Finding the Fourth Proportional to 16,137, 24,206.42 and 5,748.75

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Solution

The fourth proportional to 16,137, 24,206.42 and 5,748.75 is: 8,623.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,137 : 24,206.42 = 5,748.75 : x
  2. Step 2: Convert to fraction form
    16,137/24,206.42 = 5,748.75/x
  3. Step 3: Cross multiply
    16,137x = 24,206.42 × 5,748.75
  4. Step 4: Simplify right side
    16,137x = 139,156,628.23
  5. Step 5: Solve for x
    x = 139,156,628.23/16,137
  6. Step 6: Final answer
    x = 8,623.45

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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.