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Finding the Fourth Proportional to 13,162.52, 18,164.32 and 7,857.23

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Solution

The fourth proportional to 13,162.52, 18,164.32 and 7,857.23 is: 10,842.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,162.52 : 18,164.32 = 7,857.23 : x
  2. Step 2: Convert to fraction form
    13,162.52/18,164.32 = 7,857.23/x
  3. Step 3: Cross multiply
    13,162.52x = 18,164.32 × 7,857.23
  4. Step 4: Simplify right side
    13,162.52x = 142,721,129.57
  5. Step 5: Solve for x
    x = 142,721,129.57/13,162.52
  6. Step 6: Final answer
    x = 10,842.99

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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.