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Finding the Fourth Proportional to 13,895.49, 19,177.64 and 8,229.80

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Solution

The fourth proportional to 13,895.49, 19,177.64 and 8,229.80 is: 11,358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,895.49 : 19,177.64 = 8,229.80 : x
  2. Step 2: Convert to fraction form
    13,895.49/19,177.64 = 8,229.80/x
  3. Step 3: Cross multiply
    13,895.49x = 19,177.64 × 8,229.80
  4. Step 4: Simplify right side
    13,895.49x = 157,828,004.63
  5. Step 5: Solve for x
    x = 157,828,004.63/13,895.49
  6. Step 6: Final answer
    x = 11,358.22

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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.