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Finding the Fourth Proportional to 16,814.39, 23,207.72 and 9,642.85

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Solution

The fourth proportional to 16,814.39, 23,207.72 and 9,642.85 is: 13,309.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814.39 : 23,207.72 = 9,642.85 : x
  2. Step 2: Convert to fraction form
    16,814.39/23,207.72 = 9,642.85/x
  3. Step 3: Cross multiply
    16,814.39x = 23,207.72 × 9,642.85
  4. Step 4: Simplify right side
    16,814.39x = 223,788,456.57
  5. Step 5: Solve for x
    x = 223,788,456.57/16,814.39
  6. Step 6: Final answer
    x = 13,309.35

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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.