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Finding the Fourth Proportional to 13,715.64, 20,569.22 and 4,949.44

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Solution

The fourth proportional to 13,715.64, 20,569.22 and 4,949.44 is: 7,422.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.64 : 20,569.22 = 4,949.44 : x
  2. Step 2: Convert to fraction form
    13,715.64/20,569.22 = 4,949.44/x
  3. Step 3: Cross multiply
    13,715.64x = 20,569.22 × 4,949.44
  4. Step 4: Simplify right side
    13,715.64x = 101,806,120.24
  5. Step 5: Solve for x
    x = 101,806,120.24/13,715.64
  6. Step 6: Final answer
    x = 7,422.63

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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.