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Finding the Fourth Proportional to 13,695.26, 18,899.15 and 7,727.04

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Solution

The fourth proportional to 13,695.26, 18,899.15 and 7,727.04 is: 10,663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,695.26 : 18,899.15 = 7,727.04 : x
  2. Step 2: Convert to fraction form
    13,695.26/18,899.15 = 7,727.04/x
  3. Step 3: Cross multiply
    13,695.26x = 18,899.15 × 7,727.04
  4. Step 4: Simplify right side
    13,695.26x = 146,034,449.38
  5. Step 5: Solve for x
    x = 146,034,449.38/13,695.26
  6. Step 6: Final answer
    x = 10,663.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.