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Finding the Fourth Proportional to 13,327.86, 20,003.88 and 7,093.12

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Solution

The fourth proportional to 13,327.86, 20,003.88 and 7,093.12 is: 10,646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,327.86 : 20,003.88 = 7,093.12 : x
  2. Step 2: Convert to fraction form
    13,327.86/20,003.88 = 7,093.12/x
  3. Step 3: Cross multiply
    13,327.86x = 20,003.88 × 7,093.12
  4. Step 4: Simplify right side
    13,327.86x = 141,889,895.50
  5. Step 5: Solve for x
    x = 141,889,895.50/13,327.86
  6. Step 6: Final answer
    x = 10,646.11

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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.