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Finding the Fourth Proportional to 16,769, 23,141.94 and 9,317

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Solution

The fourth proportional to 16,769, 23,141.94 and 9,317 is: 12,857.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,769 : 23,141.94 = 9,317 : x
  2. Step 2: Convert to fraction form
    16,769/23,141.94 = 9,317/x
  3. Step 3: Cross multiply
    16,769x = 23,141.94 × 9,317
  4. Step 4: Simplify right side
    16,769x = 215,613,454.98
  5. Step 5: Solve for x
    x = 215,613,454.98/16,769
  6. Step 6: Final answer
    x = 12,857.86

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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.