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Finding the Fourth Proportional to 13,604.85, 20,374.47 and 9,208.98

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Solution

The fourth proportional to 13,604.85, 20,374.47 and 9,208.98 is: 13,791.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,604.85 : 20,374.47 = 9,208.98 : x
  2. Step 2: Convert to fraction form
    13,604.85/20,374.47 = 9,208.98/x
  3. Step 3: Cross multiply
    13,604.85x = 20,374.47 × 9,208.98
  4. Step 4: Simplify right side
    13,604.85x = 187,628,086.74
  5. Step 5: Solve for x
    x = 187,628,086.74/13,604.85
  6. Step 6: Final answer
    x = 13,791.26

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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.