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Finding the Fourth Proportional to 13,774.19, 20,661.42 and 5,456.24

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Solution

The fourth proportional to 13,774.19, 20,661.42 and 5,456.24 is: 8,184.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.19 : 20,661.42 = 5,456.24 : x
  2. Step 2: Convert to fraction form
    13,774.19/20,661.42 = 5,456.24/x
  3. Step 3: Cross multiply
    13,774.19x = 20,661.42 × 5,456.24
  4. Step 4: Simplify right side
    13,774.19x = 112,733,562.95
  5. Step 5: Solve for x
    x = 112,733,562.95/13,774.19
  6. Step 6: Final answer
    x = 8,184.41

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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.