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Finding the Fourth Proportional to 14,920.18, 20,590.31 and 8,206.29

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Solution

The fourth proportional to 14,920.18, 20,590.31 and 8,206.29 is: 11,324.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,920.18 : 20,590.31 = 8,206.29 : x
  2. Step 2: Convert to fraction form
    14,920.18/20,590.31 = 8,206.29/x
  3. Step 3: Cross multiply
    14,920.18x = 20,590.31 × 8,206.29
  4. Step 4: Simplify right side
    14,920.18x = 168,970,075.57
  5. Step 5: Solve for x
    x = 168,970,075.57/14,920.18
  6. Step 6: Final answer
    x = 11,324.94

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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.