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Finding the Fourth Proportional to 13,874.58, 20,811.06 and 4,013.64

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Solution

The fourth proportional to 13,874.58, 20,811.06 and 4,013.64 is: 6,020.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.58 : 20,811.06 = 4,013.64 : x
  2. Step 2: Convert to fraction form
    13,874.58/20,811.06 = 4,013.64/x
  3. Step 3: Cross multiply
    13,874.58x = 20,811.06 × 4,013.64
  4. Step 4: Simplify right side
    13,874.58x = 83,528,102.86
  5. Step 5: Solve for x
    x = 83,528,102.86/13,874.58
  6. Step 6: Final answer
    x = 6,020.23

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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.