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Finding the Fourth Proportional to 12,728.62, 19,097.80 and 7,188.22

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Solution

The fourth proportional to 12,728.62, 19,097.80 and 7,188.22 is: 10,785.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728.62 : 19,097.80 = 7,188.22 : x
  2. Step 2: Convert to fraction form
    12,728.62/19,097.80 = 7,188.22/x
  3. Step 3: Cross multiply
    12,728.62x = 19,097.80 × 7,188.22
  4. Step 4: Simplify right side
    12,728.62x = 137,279,187.92
  5. Step 5: Solve for x
    x = 137,279,187.92/12,728.62
  6. Step 6: Final answer
    x = 10,785.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.