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Finding the Fourth Proportional to 16,462.16, 22,716.96 and 9,749.84

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Solution

The fourth proportional to 16,462.16, 22,716.96 and 9,749.84 is: 13,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462.16 : 22,716.96 = 9,749.84 : x
  2. Step 2: Convert to fraction form
    16,462.16/22,716.96 = 9,749.84/x
  3. Step 3: Cross multiply
    16,462.16x = 22,716.96 × 9,749.84
  4. Step 4: Simplify right side
    16,462.16x = 221,486,725.29
  5. Step 5: Solve for x
    x = 221,486,725.29/16,462.16
  6. Step 6: Final answer
    x = 13,454.29

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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.