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Finding the Fourth Proportional to 14,268.96, 19,691.10 and 7,981.38

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Solution

The fourth proportional to 14,268.96, 19,691.10 and 7,981.38 is: 11,014.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,268.96 : 19,691.10 = 7,981.38 : x
  2. Step 2: Convert to fraction form
    14,268.96/19,691.10 = 7,981.38/x
  3. Step 3: Cross multiply
    14,268.96x = 19,691.10 × 7,981.38
  4. Step 4: Simplify right side
    14,268.96x = 157,162,151.72
  5. Step 5: Solve for x
    x = 157,162,151.72/14,268.96
  6. Step 6: Final answer
    x = 11,014.27

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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.