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Finding the Fourth Proportional to 19,801.98, 29,714.13 and 8,123.40

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Solution

The fourth proportional to 19,801.98, 29,714.13 and 8,123.40 is: 12,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,801.98 : 29,714.13 = 8,123.40 : x
  2. Step 2: Convert to fraction form
    19,801.98/29,714.13 = 8,123.40/x
  3. Step 3: Cross multiply
    19,801.98x = 29,714.13 × 8,123.40
  4. Step 4: Simplify right side
    19,801.98x = 241,379,763.64
  5. Step 5: Solve for x
    x = 241,379,763.64/19,801.98
  6. Step 6: Final answer
    x = 12,189.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.