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Finding the Fourth Proportional to 12,570.71, 17,342.61 and 8,097.05

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Solution

The fourth proportional to 12,570.71, 17,342.61 and 8,097.05 is: 11,170.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570.71 : 17,342.61 = 8,097.05 : x
  2. Step 2: Convert to fraction form
    12,570.71/17,342.61 = 8,097.05/x
  3. Step 3: Cross multiply
    12,570.71x = 17,342.61 × 8,097.05
  4. Step 4: Simplify right side
    12,570.71x = 140,424,012.84
  5. Step 5: Solve for x
    x = 140,424,012.84/12,570.71
  6. Step 6: Final answer
    x = 11,170.73

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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.