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Finding the Fourth Proportional to 14,714.50, 20,306.01 and 8,090.50

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Solution

The fourth proportional to 14,714.50, 20,306.01 and 8,090.50 is: 11,164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714.50 : 20,306.01 = 8,090.50 : x
  2. Step 2: Convert to fraction form
    14,714.50/20,306.01 = 8,090.50/x
  3. Step 3: Cross multiply
    14,714.50x = 20,306.01 × 8,090.50
  4. Step 4: Simplify right side
    14,714.50x = 164,285,773.91
  5. Step 5: Solve for x
    x = 164,285,773.91/14,714.50
  6. Step 6: Final answer
    x = 11,164.89

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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.