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Finding the Fourth Proportional to 16,697.34, 23,046.12 and 10,408.50

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Solution

The fourth proportional to 16,697.34, 23,046.12 and 10,408.50 is: 14,366.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,697.34 : 23,046.12 = 10,408.50 : x
  2. Step 2: Convert to fraction form
    16,697.34/23,046.12 = 10,408.50/x
  3. Step 3: Cross multiply
    16,697.34x = 23,046.12 × 10,408.50
  4. Step 4: Simplify right side
    16,697.34x = 239,875,540.02
  5. Step 5: Solve for x
    x = 239,875,540.02/16,697.34
  6. Step 6: Final answer
    x = 14,366.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.