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Finding the Fourth Proportional to 12,859.50, 17,746.11 and 7,271.58

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Solution

The fourth proportional to 12,859.50, 17,746.11 and 7,271.58 is: 10,034.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,859.50 : 17,746.11 = 7,271.58 : x
  2. Step 2: Convert to fraction form
    12,859.50/17,746.11 = 7,271.58/x
  3. Step 3: Cross multiply
    12,859.50x = 17,746.11 × 7,271.58
  4. Step 4: Simplify right side
    12,859.50x = 129,042,258.55
  5. Step 5: Solve for x
    x = 129,042,258.55/12,859.50
  6. Step 6: Final answer
    x = 10,034.78

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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.