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Finding the Fourth Proportional to 12,764.31, 17,615.13 and 7,729.45

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Solution

The fourth proportional to 12,764.31, 17,615.13 and 7,729.45 is: 10,666.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,764.31 : 17,615.13 = 7,729.45 : x
  2. Step 2: Convert to fraction form
    12,764.31/17,615.13 = 7,729.45/x
  3. Step 3: Cross multiply
    12,764.31x = 17,615.13 × 7,729.45
  4. Step 4: Simplify right side
    12,764.31x = 136,155,266.58
  5. Step 5: Solve for x
    x = 136,155,266.58/12,764.31
  6. Step 6: Final answer
    x = 10,666.87

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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.