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Finding the Fourth Proportional to 13,351, 20,028.12 and 4,117

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Solution

The fourth proportional to 13,351, 20,028.12 and 4,117 is: 6,176.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,351 : 20,028.12 = 4,117 : x
  2. Step 2: Convert to fraction form
    13,351/20,028.12 = 4,117/x
  3. Step 3: Cross multiply
    13,351x = 20,028.12 × 4,117
  4. Step 4: Simplify right side
    13,351x = 82,455,770.04
  5. Step 5: Solve for x
    x = 82,455,770.04/13,351
  6. Step 6: Final answer
    x = 6,176.00

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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.