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Finding the Fourth Proportional to 13,743.66, 18,966.24 and 7,456.04

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Solution

The fourth proportional to 13,743.66, 18,966.24 and 7,456.04 is: 10,289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743.66 : 18,966.24 = 7,456.04 : x
  2. Step 2: Convert to fraction form
    13,743.66/18,966.24 = 7,456.04/x
  3. Step 3: Cross multiply
    13,743.66x = 18,966.24 × 7,456.04
  4. Step 4: Simplify right side
    13,743.66x = 141,412,949.26
  5. Step 5: Solve for x
    x = 141,412,949.26/13,743.66
  6. Step 6: Final answer
    x = 10,289.32

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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.