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Finding the Fourth Proportional to 13,701.69, 20,561.99 and 5,381.64

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Solution

The fourth proportional to 13,701.69, 20,561.99 and 5,381.64 is: 8,076.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.69 : 20,561.99 = 5,381.64 : x
  2. Step 2: Convert to fraction form
    13,701.69/20,561.99 = 5,381.64/x
  3. Step 3: Cross multiply
    13,701.69x = 20,561.99 × 5,381.64
  4. Step 4: Simplify right side
    13,701.69x = 110,657,200.96
  5. Step 5: Solve for x
    x = 110,657,200.96/13,701.69
  6. Step 6: Final answer
    x = 8,076.17

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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.