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Finding the Fourth Proportional to 13,508.99, 20,264.45 and 5,189

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Solution

The fourth proportional to 13,508.99, 20,264.45 and 5,189 is: 7,783.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508.99 : 20,264.45 = 5,189 : x
  2. Step 2: Convert to fraction form
    13,508.99/20,264.45 = 5,189/x
  3. Step 3: Cross multiply
    13,508.99x = 20,264.45 × 5,189
  4. Step 4: Simplify right side
    13,508.99x = 105,152,231.05
  5. Step 5: Solve for x
    x = 105,152,231.05/13,508.99
  6. Step 6: Final answer
    x = 7,783.87

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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.