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Finding the Fourth Proportional to 16,434.12, 22,678.76 and 9,629.82

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Solution

The fourth proportional to 16,434.12, 22,678.76 and 9,629.82 is: 13,288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,434.12 : 22,678.76 = 9,629.82 : x
  2. Step 2: Convert to fraction form
    16,434.12/22,678.76 = 9,629.82/x
  3. Step 3: Cross multiply
    16,434.12x = 22,678.76 × 9,629.82
  4. Step 4: Simplify right side
    16,434.12x = 218,392,376.62
  5. Step 5: Solve for x
    x = 218,392,376.62/16,434.12
  6. Step 6: Final answer
    x = 13,288.96

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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.