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Finding the Fourth Proportional to 12,917.84, 17,833.20 and 9,143.96

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Solution

The fourth proportional to 12,917.84, 17,833.20 and 9,143.96 is: 12,623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,917.84 : 17,833.20 = 9,143.96 : x
  2. Step 2: Convert to fraction form
    12,917.84/17,833.20 = 9,143.96/x
  3. Step 3: Cross multiply
    12,917.84x = 17,833.20 × 9,143.96
  4. Step 4: Simplify right side
    12,917.84x = 163,066,067.47
  5. Step 5: Solve for x
    x = 163,066,067.47/12,917.84
  6. Step 6: Final answer
    x = 12,623.32

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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.