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Finding the Fourth Proportional to 16,406.72, 22,640.34 and 9,690.81

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Solution

The fourth proportional to 16,406.72, 22,640.34 and 9,690.81 is: 13,372.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.72 : 22,640.34 = 9,690.81 : x
  2. Step 2: Convert to fraction form
    16,406.72/22,640.34 = 9,690.81/x
  3. Step 3: Cross multiply
    16,406.72x = 22,640.34 × 9,690.81
  4. Step 4: Simplify right side
    16,406.72x = 219,403,184.71
  5. Step 5: Solve for x
    x = 219,403,184.71/16,406.72
  6. Step 6: Final answer
    x = 13,372.76

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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.