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Finding the Fourth Proportional to 13,884.70, 20,828.13 and 4,024.12

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Solution

The fourth proportional to 13,884.70, 20,828.13 and 4,024.12 is: 6,036.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.70 : 20,828.13 = 4,024.12 : x
  2. Step 2: Convert to fraction form
    13,884.70/20,828.13 = 4,024.12/x
  3. Step 3: Cross multiply
    13,884.70x = 20,828.13 × 4,024.12
  4. Step 4: Simplify right side
    13,884.70x = 83,814,894.50
  5. Step 5: Solve for x
    x = 83,814,894.50/13,884.70
  6. Step 6: Final answer
    x = 6,036.49

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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.