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Finding the Fourth Proportional to 12,857.86, 17,756.49 and 8,889.22

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Solution

The fourth proportional to 12,857.86, 17,756.49 and 8,889.22 is: 12,275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.86 : 17,756.49 = 8,889.22 : x
  2. Step 2: Convert to fraction form
    12,857.86/17,756.49 = 8,889.22/x
  3. Step 3: Cross multiply
    12,857.86x = 17,756.49 × 8,889.22
  4. Step 4: Simplify right side
    12,857.86x = 157,841,346.04
  5. Step 5: Solve for x
    x = 157,841,346.04/12,857.86
  6. Step 6: Final answer
    x = 12,275.86

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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.