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Finding the Fourth Proportional to 13,443.44, 18,549.22 and 7,853.36

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Solution

The fourth proportional to 13,443.44, 18,549.22 and 7,853.36 is: 10,836.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.44 : 18,549.22 = 7,853.36 : x
  2. Step 2: Convert to fraction form
    13,443.44/18,549.22 = 7,853.36/x
  3. Step 3: Cross multiply
    13,443.44x = 18,549.22 × 7,853.36
  4. Step 4: Simplify right side
    13,443.44x = 145,673,702.38
  5. Step 5: Solve for x
    x = 145,673,702.38/13,443.44
  6. Step 6: Final answer
    x = 10,836.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.