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Finding the Fourth Proportional to 12,849, 17,731.74 and 7,543.89

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Solution

The fourth proportional to 12,849, 17,731.74 and 7,543.89 is: 10,410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,849 : 17,731.74 = 7,543.89 : x
  2. Step 2: Convert to fraction form
    12,849/17,731.74 = 7,543.89/x
  3. Step 3: Cross multiply
    12,849x = 17,731.74 × 7,543.89
  4. Step 4: Simplify right side
    12,849x = 133,766,296.07
  5. Step 5: Solve for x
    x = 133,766,296.07/12,849
  6. Step 6: Final answer
    x = 10,410.64

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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.