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Finding the Fourth Proportional to 13,490, 20,238.24 and 4,256

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Solution

The fourth proportional to 13,490, 20,238.24 and 4,256 is: 6,385.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490 : 20,238.24 = 4,256 : x
  2. Step 2: Convert to fraction form
    13,490/20,238.24 = 4,256/x
  3. Step 3: Cross multiply
    13,490x = 20,238.24 × 4,256
  4. Step 4: Simplify right side
    13,490x = 86,133,949.44
  5. Step 5: Solve for x
    x = 86,133,949.44/13,490
  6. Step 6: Final answer
    x = 6,385.02

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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.