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Finding the Fourth Proportional to 12,838.15, 17,717.96 and 9,256.06

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Solution

The fourth proportional to 12,838.15, 17,717.96 and 9,256.06 is: 12,774.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.15 : 17,717.96 = 9,256.06 : x
  2. Step 2: Convert to fraction form
    12,838.15/17,717.96 = 9,256.06/x
  3. Step 3: Cross multiply
    12,838.15x = 17,717.96 × 9,256.06
  4. Step 4: Simplify right side
    12,838.15x = 163,998,365.97
  5. Step 5: Solve for x
    x = 163,998,365.97/12,838.15
  6. Step 6: Final answer
    x = 12,774.30

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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.