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Finding the Fourth Proportional to 16,462.76, 22,698.66 and 11,431.16

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Solution

The fourth proportional to 16,462.76, 22,698.66 and 11,431.16 is: 15,761.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462.76 : 22,698.66 = 11,431.16 : x
  2. Step 2: Convert to fraction form
    16,462.76/22,698.66 = 11,431.16/x
  3. Step 3: Cross multiply
    16,462.76x = 22,698.66 × 11,431.16
  4. Step 4: Simplify right side
    16,462.76x = 259,472,014.25
  5. Step 5: Solve for x
    x = 259,472,014.25/16,462.76
  6. Step 6: Final answer
    x = 15,761.15

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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.