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Finding the Fourth Proportional to 12,836.36, 17,713.14 and 7,170.66

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Solution

The fourth proportional to 12,836.36, 17,713.14 and 7,170.66 is: 9,894.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,836.36 : 17,713.14 = 7,170.66 : x
  2. Step 2: Convert to fraction form
    12,836.36/17,713.14 = 7,170.66/x
  3. Step 3: Cross multiply
    12,836.36x = 17,713.14 × 7,170.66
  4. Step 4: Simplify right side
    12,836.36x = 127,014,904.47
  5. Step 5: Solve for x
    x = 127,014,904.47/12,836.36
  6. Step 6: Final answer
    x = 9,894.93

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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.