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Finding the Fourth Proportional to 14,668.38, 20,242.62 and 8,697.78

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Solution

The fourth proportional to 14,668.38, 20,242.62 and 8,697.78 is: 12,003.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,668.38 : 20,242.62 = 8,697.78 : x
  2. Step 2: Convert to fraction form
    14,668.38/20,242.62 = 8,697.78/x
  3. Step 3: Cross multiply
    14,668.38x = 20,242.62 × 8,697.78
  4. Step 4: Simplify right side
    14,668.38x = 176,065,855.38
  5. Step 5: Solve for x
    x = 176,065,855.38/14,668.38
  6. Step 6: Final answer
    x = 12,003.09

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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.