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Finding the Fourth Proportional to 13,729.02, 18,951.24 and 8,431.02

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Solution

The fourth proportional to 13,729.02, 18,951.24 and 8,431.02 is: 11,638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.02 : 18,951.24 = 8,431.02 : x
  2. Step 2: Convert to fraction form
    13,729.02/18,951.24 = 8,431.02/x
  3. Step 3: Cross multiply
    13,729.02x = 18,951.24 × 8,431.02
  4. Step 4: Simplify right side
    13,729.02x = 159,778,283.46
  5. Step 5: Solve for x
    x = 159,778,283.46/13,729.02
  6. Step 6: Final answer
    x = 11,638.00

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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.