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Finding the Fourth Proportional to 14,518.34, 20,035.31 and 8,230.71

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Solution

The fourth proportional to 14,518.34, 20,035.31 and 8,230.71 is: 11,358.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,518.34 : 20,035.31 = 8,230.71 : x
  2. Step 2: Convert to fraction form
    14,518.34/20,035.31 = 8,230.71/x
  3. Step 3: Cross multiply
    14,518.34x = 20,035.31 × 8,230.71
  4. Step 4: Simplify right side
    14,518.34x = 164,904,785.22
  5. Step 5: Solve for x
    x = 164,904,785.22/14,518.34
  6. Step 6: Final answer
    x = 11,358.38

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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.