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Finding the Fourth Proportional to 13,590.99, 20,393.45 and 6,194.49

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Solution

The fourth proportional to 13,590.99, 20,393.45 and 6,194.49 is: 9,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,590.99 : 20,393.45 = 6,194.49 : x
  2. Step 2: Convert to fraction form
    13,590.99/20,393.45 = 6,194.49/x
  3. Step 3: Cross multiply
    13,590.99x = 20,393.45 × 6,194.49
  4. Step 4: Simplify right side
    13,590.99x = 126,326,991.12
  5. Step 5: Solve for x
    x = 126,326,991.12/13,590.99
  6. Step 6: Final answer
    x = 9,294.91

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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.