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Finding the Fourth Proportional to 13,743.84, 18,966.42 and 7,456.08

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Solution

The fourth proportional to 13,743.84, 18,966.42 and 7,456.08 is: 10,289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743.84 : 18,966.42 = 7,456.08 : x
  2. Step 2: Convert to fraction form
    13,743.84/18,966.42 = 7,456.08/x
  3. Step 3: Cross multiply
    13,743.84x = 18,966.42 × 7,456.08
  4. Step 4: Simplify right side
    13,743.84x = 141,415,144.83
  5. Step 5: Solve for x
    x = 141,415,144.83/13,743.84
  6. Step 6: Final answer
    x = 10,289.35

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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.