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Finding the Fourth Proportional to 14,920.76, 20,590.50 and 8,206.28

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Solution

The fourth proportional to 14,920.76, 20,590.50 and 8,206.28 is: 11,324.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,920.76 : 20,590.50 = 8,206.28 : x
  2. Step 2: Convert to fraction form
    14,920.76/20,590.50 = 8,206.28/x
  3. Step 3: Cross multiply
    14,920.76x = 20,590.50 × 8,206.28
  4. Step 4: Simplify right side
    14,920.76x = 168,971,408.34
  5. Step 5: Solve for x
    x = 168,971,408.34/14,920.76
  6. Step 6: Final answer
    x = 11,324.58

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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.