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Finding the Fourth Proportional to 13,361.41, 20,041.78 and 7,747.45

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Solution

The fourth proportional to 13,361.41, 20,041.78 and 7,747.45 is: 11,620.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,361.41 : 20,041.78 = 7,747.45 : x
  2. Step 2: Convert to fraction form
    13,361.41/20,041.78 = 7,747.45/x
  3. Step 3: Cross multiply
    13,361.41x = 20,041.78 × 7,747.45
  4. Step 4: Simplify right side
    13,361.41x = 155,272,633.51
  5. Step 5: Solve for x
    x = 155,272,633.51/13,361.41
  6. Step 6: Final answer
    x = 11,620.98

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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.