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Finding the Fourth Proportional to 13,810.83, 20,697.71 and 7,561.41

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Solution

The fourth proportional to 13,810.83, 20,697.71 and 7,561.41 is: 11,331.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.83 : 20,697.71 = 7,561.41 : x
  2. Step 2: Convert to fraction form
    13,810.83/20,697.71 = 7,561.41/x
  3. Step 3: Cross multiply
    13,810.83x = 20,697.71 × 7,561.41
  4. Step 4: Simplify right side
    13,810.83x = 156,503,833.56
  5. Step 5: Solve for x
    x = 156,503,833.56/13,810.83
  6. Step 6: Final answer
    x = 11,331.96

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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.