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Finding the Fourth Proportional to 13,886.76, 20,825.20 and 4,024

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Solution

The fourth proportional to 13,886.76, 20,825.20 and 4,024 is: 6,034.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.76 : 20,825.20 = 4,024 : x
  2. Step 2: Convert to fraction form
    13,886.76/20,825.20 = 4,024/x
  3. Step 3: Cross multiply
    13,886.76x = 20,825.20 × 4,024
  4. Step 4: Simplify right side
    13,886.76x = 83,800,604.80
  5. Step 5: Solve for x
    x = 83,800,604.80/13,886.76
  6. Step 6: Final answer
    x = 6,034.57

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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.