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Finding the Fourth Proportional to 12,811.06, 17,680.48 and 8,031.76

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Solution

The fourth proportional to 12,811.06, 17,680.48 and 8,031.76 is: 11,084.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.06 : 17,680.48 = 8,031.76 : x
  2. Step 2: Convert to fraction form
    12,811.06/17,680.48 = 8,031.76/x
  3. Step 3: Cross multiply
    12,811.06x = 17,680.48 × 8,031.76
  4. Step 4: Simplify right side
    12,811.06x = 142,005,307.76
  5. Step 5: Solve for x
    x = 142,005,307.76/12,811.06
  6. Step 6: Final answer
    x = 11,084.59

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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.