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Finding the Fourth Proportional to 12,864.06, 17,754.93 and 8,145

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Solution

The fourth proportional to 12,864.06, 17,754.93 and 8,145 is: 11,241.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864.06 : 17,754.93 = 8,145 : x
  2. Step 2: Convert to fraction form
    12,864.06/17,754.93 = 8,145/x
  3. Step 3: Cross multiply
    12,864.06x = 17,754.93 × 8,145
  4. Step 4: Simplify right side
    12,864.06x = 144,613,904.85
  5. Step 5: Solve for x
    x = 144,613,904.85/12,864.06
  6. Step 6: Final answer
    x = 11,241.70

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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.