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Finding the Fourth Proportional to 13,597.76, 20,387.82 and 7,353.84

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Solution

The fourth proportional to 13,597.76, 20,387.82 and 7,353.84 is: 11,025.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.76 : 20,387.82 = 7,353.84 : x
  2. Step 2: Convert to fraction form
    13,597.76/20,387.82 = 7,353.84/x
  3. Step 3: Cross multiply
    13,597.76x = 20,387.82 × 7,353.84
  4. Step 4: Simplify right side
    13,597.76x = 149,928,766.23
  5. Step 5: Solve for x
    x = 149,928,766.23/13,597.76
  6. Step 6: Final answer
    x = 11,025.99

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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.