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Finding the Fourth Proportional to 13,597.34, 20,387.57 and 4,234.70

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Solution

The fourth proportional to 13,597.34, 20,387.57 and 4,234.70 is: 6,349.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.34 : 20,387.57 = 4,234.70 : x
  2. Step 2: Convert to fraction form
    13,597.34/20,387.57 = 4,234.70/x
  3. Step 3: Cross multiply
    13,597.34x = 20,387.57 × 4,234.70
  4. Step 4: Simplify right side
    13,597.34x = 86,335,119.57
  5. Step 5: Solve for x
    x = 86,335,119.57/13,597.34
  6. Step 6: Final answer
    x = 6,349.41

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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.