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Finding the Fourth Proportional to 13,497.72, 20,245.86 and 4,263

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Solution

The fourth proportional to 13,497.72, 20,245.86 and 4,263 is: 6,394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.72 : 20,245.86 = 4,263 : x
  2. Step 2: Convert to fraction form
    13,497.72/20,245.86 = 4,263/x
  3. Step 3: Cross multiply
    13,497.72x = 20,245.86 × 4,263
  4. Step 4: Simplify right side
    13,497.72x = 86,308,101.18
  5. Step 5: Solve for x
    x = 86,308,101.18/13,497.72
  6. Step 6: Final answer
    x = 6,394.27

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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.