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Finding the Fourth Proportional to 12,829.27, 19,228.18 and 7,287.28

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Solution

The fourth proportional to 12,829.27, 19,228.18 and 7,287.28 is: 10,921.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.27 : 19,228.18 = 7,287.28 : x
  2. Step 2: Convert to fraction form
    12,829.27/19,228.18 = 7,287.28/x
  3. Step 3: Cross multiply
    12,829.27x = 19,228.18 × 7,287.28
  4. Step 4: Simplify right side
    12,829.27x = 140,121,131.55
  5. Step 5: Solve for x
    x = 140,121,131.55/12,829.27
  6. Step 6: Final answer
    x = 10,921.99

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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.