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Finding the Fourth Proportional to 13,348, 20,023.08 and 4,114

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Solution

The fourth proportional to 13,348, 20,023.08 and 4,114 is: 6,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,348 : 20,023.08 = 4,114 : x
  2. Step 2: Convert to fraction form
    13,348/20,023.08 = 4,114/x
  3. Step 3: Cross multiply
    13,348x = 20,023.08 × 4,114
  4. Step 4: Simplify right side
    13,348x = 82,374,951.12
  5. Step 5: Solve for x
    x = 82,374,951.12/13,348
  6. Step 6: Final answer
    x = 6,171.33

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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.