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Finding the Fourth Proportional to 14,920.96, 20,590.51 and 8,206.58

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Solution

The fourth proportional to 14,920.96, 20,590.51 and 8,206.58 is: 11,324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,920.96 : 20,590.51 = 8,206.58 : x
  2. Step 2: Convert to fraction form
    14,920.96/20,590.51 = 8,206.58/x
  3. Step 3: Cross multiply
    14,920.96x = 20,590.51 × 8,206.58
  4. Step 4: Simplify right side
    14,920.96x = 168,977,667.56
  5. Step 5: Solve for x
    x = 168,977,667.56/14,920.96
  6. Step 6: Final answer
    x = 11,324.85

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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.