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Finding the Fourth Proportional to 12,838.67, 17,680.51 and 11,031.71

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Solution

The fourth proportional to 12,838.67, 17,680.51 and 11,031.71 is: 15,192.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.67 : 17,680.51 = 11,031.71 : x
  2. Step 2: Convert to fraction form
    12,838.67/17,680.51 = 11,031.71/x
  3. Step 3: Cross multiply
    12,838.67x = 17,680.51 × 11,031.71
  4. Step 4: Simplify right side
    12,838.67x = 195,046,258.97
  5. Step 5: Solve for x
    x = 195,046,258.97/12,838.67
  6. Step 6: Final answer
    x = 15,192.09

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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.