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Finding the Fourth Proportional to 16,756.72, 23,123.82 and 10,046.16

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Solution

The fourth proportional to 16,756.72, 23,123.82 and 10,046.16 is: 13,863.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,756.72 : 23,123.82 = 10,046.16 : x
  2. Step 2: Convert to fraction form
    16,756.72/23,123.82 = 10,046.16/x
  3. Step 3: Cross multiply
    16,756.72x = 23,123.82 × 10,046.16
  4. Step 4: Simplify right side
    16,756.72x = 232,305,595.53
  5. Step 5: Solve for x
    x = 232,305,595.53/16,756.72
  6. Step 6: Final answer
    x = 13,863.43

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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.