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Finding the Fourth Proportional to 13,409.50, 20,117.49 and 4,175.50

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Solution

The fourth proportional to 13,409.50, 20,117.49 and 4,175.50 is: 6,264.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.50 : 20,117.49 = 4,175.50 : x
  2. Step 2: Convert to fraction form
    13,409.50/20,117.49 = 4,175.50/x
  3. Step 3: Cross multiply
    13,409.50x = 20,117.49 × 4,175.50
  4. Step 4: Simplify right side
    13,409.50x = 84,000,579.50
  5. Step 5: Solve for x
    x = 84,000,579.50/13,409.50
  6. Step 6: Final answer
    x = 6,264.26

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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.