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Finding the Fourth Proportional to 12,836.64, 17,713.93 and 7,170.26

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Solution

The fourth proportional to 12,836.64, 17,713.93 and 7,170.26 is: 9,894.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,836.64 : 17,713.93 = 7,170.26 : x
  2. Step 2: Convert to fraction form
    12,836.64/17,713.93 = 7,170.26/x
  3. Step 3: Cross multiply
    12,836.64x = 17,713.93 × 7,170.26
  4. Step 4: Simplify right side
    12,836.64x = 127,013,490.31
  5. Step 5: Solve for x
    x = 127,013,490.31/12,836.64
  6. Step 6: Final answer
    x = 9,894.61

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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.