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Finding the Fourth Proportional to 13,827.26, 20,740.44 and 7,590.21

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Solution

The fourth proportional to 13,827.26, 20,740.44 and 7,590.21 is: 11,385.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827.26 : 20,740.44 = 7,590.21 : x
  2. Step 2: Convert to fraction form
    13,827.26/20,740.44 = 7,590.21/x
  3. Step 3: Cross multiply
    13,827.26x = 20,740.44 × 7,590.21
  4. Step 4: Simplify right side
    13,827.26x = 157,424,295.09
  5. Step 5: Solve for x
    x = 157,424,295.09/13,827.26
  6. Step 6: Final answer
    x = 11,385.07

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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.