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Finding the Fourth Proportional to 14,698, 20,283.24 and 8,074

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Solution

The fourth proportional to 14,698, 20,283.24 and 8,074 is: 11,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,698 : 20,283.24 = 8,074 : x
  2. Step 2: Convert to fraction form
    14,698/20,283.24 = 8,074/x
  3. Step 3: Cross multiply
    14,698x = 20,283.24 × 8,074
  4. Step 4: Simplify right side
    14,698x = 163,766,879.76
  5. Step 5: Solve for x
    x = 163,766,879.76/14,698
  6. Step 6: Final answer
    x = 11,142.12

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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.