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Finding the Fourth Proportional to 13,474.56, 20,214.08 and 4,240

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Solution

The fourth proportional to 13,474.56, 20,214.08 and 4,240 is: 6,360.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.56 : 20,214.08 = 4,240 : x
  2. Step 2: Convert to fraction form
    13,474.56/20,214.08 = 4,240/x
  3. Step 3: Cross multiply
    13,474.56x = 20,214.08 × 4,240
  4. Step 4: Simplify right side
    13,474.56x = 85,707,699.20
  5. Step 5: Solve for x
    x = 85,707,699.20/13,474.56
  6. Step 6: Final answer
    x = 6,360.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.