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Finding the Fourth Proportional to 13,491.72, 20,236.14 and 4,257

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Solution

The fourth proportional to 13,491.72, 20,236.14 and 4,257 is: 6,385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,491.72 : 20,236.14 = 4,257 : x
  2. Step 2: Convert to fraction form
    13,491.72/20,236.14 = 4,257/x
  3. Step 3: Cross multiply
    13,491.72x = 20,236.14 × 4,257
  4. Step 4: Simplify right side
    13,491.72x = 86,145,247.98
  5. Step 5: Solve for x
    x = 86,145,247.98/13,491.72
  6. Step 6: Final answer
    x = 6,385.05

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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.