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Finding the Fourth Proportional to 13,409.78, 20,114.67 and 4,176.50

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Solution

The fourth proportional to 13,409.78, 20,114.67 and 4,176.50 is: 6,264.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.78 : 20,114.67 = 4,176.50 : x
  2. Step 2: Convert to fraction form
    13,409.78/20,114.67 = 4,176.50/x
  3. Step 3: Cross multiply
    13,409.78x = 20,114.67 × 4,176.50
  4. Step 4: Simplify right side
    13,409.78x = 84,008,919.26
  5. Step 5: Solve for x
    x = 84,008,919.26/13,409.78
  6. Step 6: Final answer
    x = 6,264.75

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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.