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Finding the Fourth Proportional to 12,789.21, 17,657.81 and 8,011.13

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Solution

The fourth proportional to 12,789.21, 17,657.81 and 8,011.13 is: 11,060.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,789.21 : 17,657.81 = 8,011.13 : x
  2. Step 2: Convert to fraction form
    12,789.21/17,657.81 = 8,011.13/x
  3. Step 3: Cross multiply
    12,789.21x = 17,657.81 × 8,011.13
  4. Step 4: Simplify right side
    12,789.21x = 141,459,011.43
  5. Step 5: Solve for x
    x = 141,459,011.43/12,789.21
  6. Step 6: Final answer
    x = 11,060.81

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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.