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Finding the Fourth Proportional to 13,914.74, 20,874.06 and 4,054.74

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Solution

The fourth proportional to 13,914.74, 20,874.06 and 4,054.74 is: 6,082.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.74 : 20,874.06 = 4,054.74 : x
  2. Step 2: Convert to fraction form
    13,914.74/20,874.06 = 4,054.74/x
  3. Step 3: Cross multiply
    13,914.74x = 20,874.06 × 4,054.74
  4. Step 4: Simplify right side
    13,914.74x = 84,638,886.04
  5. Step 5: Solve for x
    x = 84,638,886.04/13,914.74
  6. Step 6: Final answer
    x = 6,082.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.