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Finding the Fourth Proportional to 14,920.65, 20,590.65 and 8,206.35

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Solution

The fourth proportional to 14,920.65, 20,590.65 and 8,206.35 is: 11,324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,920.65 : 20,590.65 = 8,206.35 : x
  2. Step 2: Convert to fraction form
    14,920.65/20,590.65 = 8,206.35/x
  3. Step 3: Cross multiply
    14,920.65x = 20,590.65 × 8,206.35
  4. Step 4: Simplify right side
    14,920.65x = 168,974,080.63
  5. Step 5: Solve for x
    x = 168,974,080.63/14,920.65
  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.