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Finding the Fourth Proportional to 12,783.38, 19,175.06 and 3,549.38

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Solution

The fourth proportional to 12,783.38, 19,175.06 and 3,549.38 is: 5,324.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.38 : 19,175.06 = 3,549.38 : x
  2. Step 2: Convert to fraction form
    12,783.38/19,175.06 = 3,549.38/x
  3. Step 3: Cross multiply
    12,783.38x = 19,175.06 × 3,549.38
  4. Step 4: Simplify right side
    12,783.38x = 68,059,487.46
  5. Step 5: Solve for x
    x = 68,059,487.46/12,783.38
  6. Step 6: Final answer
    x = 5,324.06

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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.