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Finding the Fourth Proportional to 12,836.14, 17,718.06 and 7,530.82

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Solution

The fourth proportional to 12,836.14, 17,718.06 and 7,530.82 is: 10,394.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,836.14 : 17,718.06 = 7,530.82 : x
  2. Step 2: Convert to fraction form
    12,836.14/17,718.06 = 7,530.82/x
  3. Step 3: Cross multiply
    12,836.14x = 17,718.06 × 7,530.82
  4. Step 4: Simplify right side
    12,836.14x = 133,431,520.61
  5. Step 5: Solve for x
    x = 133,431,520.61/12,836.14
  6. Step 6: Final answer
    x = 10,394.99

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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.