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Finding the Fourth Proportional to 12,836.56, 17,713.62 and 7,458.52

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Solution

The fourth proportional to 12,836.56, 17,713.62 and 7,458.52 is: 10,292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,836.56 : 17,713.62 = 7,458.52 : x
  2. Step 2: Convert to fraction form
    12,836.56/17,713.62 = 7,458.52/x
  3. Step 3: Cross multiply
    12,836.56x = 17,713.62 × 7,458.52
  4. Step 4: Simplify right side
    12,836.56x = 132,117,389.04
  5. Step 5: Solve for x
    x = 132,117,389.04/12,836.56
  6. Step 6: Final answer
    x = 10,292.27

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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.