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Finding the Fourth Proportional to 13,731.97, 18,951.09 and 7,763.70

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Solution

The fourth proportional to 13,731.97, 18,951.09 and 7,763.70 is: 10,714.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,731.97 : 18,951.09 = 7,763.70 : x
  2. Step 2: Convert to fraction form
    13,731.97/18,951.09 = 7,763.70/x
  3. Step 3: Cross multiply
    13,731.97x = 18,951.09 × 7,763.70
  4. Step 4: Simplify right side
    13,731.97x = 147,130,482.68
  5. Step 5: Solve for x
    x = 147,130,482.68/13,731.97
  6. Step 6: Final answer
    x = 10,714.45

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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.