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Finding the Fourth Proportional to 12,287.54, 18,434.56 and 6,442.58

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Solution

The fourth proportional to 12,287.54, 18,434.56 and 6,442.58 is: 9,665.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.54 : 18,434.56 = 6,442.58 : x
  2. Step 2: Convert to fraction form
    12,287.54/18,434.56 = 6,442.58/x
  3. Step 3: Cross multiply
    12,287.54x = 18,434.56 × 6,442.58
  4. Step 4: Simplify right side
    12,287.54x = 118,766,127.56
  5. Step 5: Solve for x
    x = 118,766,127.56/12,287.54
  6. Step 6: Final answer
    x = 9,665.57

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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.