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Finding the Fourth Proportional to 12,713.20, 19,102.20 and 11,287.60

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Solution

The fourth proportional to 12,713.20, 19,102.20 and 11,287.60 is: 16,960.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713.20 : 19,102.20 = 11,287.60 : x
  2. Step 2: Convert to fraction form
    12,713.20/19,102.20 = 11,287.60/x
  3. Step 3: Cross multiply
    12,713.20x = 19,102.20 × 11,287.60
  4. Step 4: Simplify right side
    12,713.20x = 215,617,992.72
  5. Step 5: Solve for x
    x = 215,617,992.72/12,713.20
  6. Step 6: Final answer
    x = 16,960.17

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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.