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Finding the Fourth Proportional to 13,646.02, 18,833.97 and 9,667.30

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Solution

The fourth proportional to 13,646.02, 18,833.97 and 9,667.30 is: 13,342.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.02 : 18,833.97 = 9,667.30 : x
  2. Step 2: Convert to fraction form
    13,646.02/18,833.97 = 9,667.30/x
  3. Step 3: Cross multiply
    13,646.02x = 18,833.97 × 9,667.30
  4. Step 4: Simplify right side
    13,646.02x = 182,073,638.18
  5. Step 5: Solve for x
    x = 182,073,638.18/13,646.02
  6. Step 6: Final answer
    x = 13,342.62

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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.