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Finding the Fourth Proportional to 12,147.57, 18,232.29 and 6,308.28

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Solution

The fourth proportional to 12,147.57, 18,232.29 and 6,308.28 is: 9,468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.57 : 18,232.29 = 6,308.28 : x
  2. Step 2: Convert to fraction form
    12,147.57/18,232.29 = 6,308.28/x
  3. Step 3: Cross multiply
    12,147.57x = 18,232.29 × 6,308.28
  4. Step 4: Simplify right side
    12,147.57x = 115,014,390.36
  5. Step 5: Solve for x
    x = 115,014,390.36/12,147.57
  6. Step 6: Final answer
    x = 9,468.10

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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.