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Finding the Fourth Proportional to 13,743.49, 18,966.48 and 8,078.16

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Solution

The fourth proportional to 13,743.49, 18,966.48 and 8,078.16 is: 11,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743.49 : 18,966.48 = 8,078.16 : x
  2. Step 2: Convert to fraction form
    13,743.49/18,966.48 = 8,078.16/x
  3. Step 3: Cross multiply
    13,743.49x = 18,966.48 × 8,078.16
  4. Step 4: Simplify right side
    13,743.49x = 153,214,165.24
  5. Step 5: Solve for x
    x = 153,214,165.24/13,743.49
  6. Step 6: Final answer
    x = 11,148.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.