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Finding the Fourth Proportional to 16,123.16, 22,249.96 and 9,049.57

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Solution

The fourth proportional to 16,123.16, 22,249.96 and 9,049.57 is: 12,488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,123.16 : 22,249.96 = 9,049.57 : x
  2. Step 2: Convert to fraction form
    16,123.16/22,249.96 = 9,049.57/x
  3. Step 3: Cross multiply
    16,123.16x = 22,249.96 × 9,049.57
  4. Step 4: Simplify right side
    16,123.16x = 201,352,492.27
  5. Step 5: Solve for x
    x = 201,352,492.27/16,123.16
  6. Step 6: Final answer
    x = 12,488.40

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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.