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Finding the Fourth Proportional to 12,917.82, 17,808.17 and 9,508.84

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Solution

The fourth proportional to 12,917.82, 17,808.17 and 9,508.84 is: 13,108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,917.82 : 17,808.17 = 9,508.84 : x
  2. Step 2: Convert to fraction form
    12,917.82/17,808.17 = 9,508.84/x
  3. Step 3: Cross multiply
    12,917.82x = 17,808.17 × 9,508.84
  4. Step 4: Simplify right side
    12,917.82x = 169,335,018.47
  5. Step 5: Solve for x
    x = 169,335,018.47/12,917.82
  6. Step 6: Final answer
    x = 13,108.64

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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.