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Finding the Fourth Proportional to 12,852.66, 17,729.82 and 7,818.42

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Solution

The fourth proportional to 12,852.66, 17,729.82 and 7,818.42 is: 10,785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.66 : 17,729.82 = 7,818.42 : x
  2. Step 2: Convert to fraction form
    12,852.66/17,729.82 = 7,818.42/x
  3. Step 3: Cross multiply
    12,852.66x = 17,729.82 × 7,818.42
  4. Step 4: Simplify right side
    12,852.66x = 138,619,140.19
  5. Step 5: Solve for x
    x = 138,619,140.19/12,852.66
  6. Step 6: Final answer
    x = 10,785.25

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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.