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Finding the Fourth Proportional to 12,270.98, 18,407.69 and 4,477.97

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Solution

The fourth proportional to 12,270.98, 18,407.69 and 4,477.97 is: 6,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270.98 : 18,407.69 = 4,477.97 : x
  2. Step 2: Convert to fraction form
    12,270.98/18,407.69 = 4,477.97/x
  3. Step 3: Cross multiply
    12,270.98x = 18,407.69 × 4,477.97
  4. Step 4: Simplify right side
    12,270.98x = 82,428,969.16
  5. Step 5: Solve for x
    x = 82,428,969.16/12,270.98
  6. Step 6: Final answer
    x = 6,717.39

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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.