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Finding the Fourth Proportional to 13,233.27, 19,854.90 and 8,297.40

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Solution

The fourth proportional to 13,233.27, 19,854.90 and 8,297.40 is: 12,449.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,233.27 : 19,854.90 = 8,297.40 : x
  2. Step 2: Convert to fraction form
    13,233.27/19,854.90 = 8,297.40/x
  3. Step 3: Cross multiply
    13,233.27x = 19,854.90 × 8,297.40
  4. Step 4: Simplify right side
    13,233.27x = 164,744,047.26
  5. Step 5: Solve for x
    x = 164,744,047.26/13,233.27
  6. Step 6: Final answer
    x = 12,449.23

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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.