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Finding the Fourth Proportional to 13,977.16, 20,967.90 and 4,741

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Solution

The fourth proportional to 13,977.16, 20,967.90 and 4,741 is: 7,112.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,977.16 : 20,967.90 = 4,741 : x
  2. Step 2: Convert to fraction form
    13,977.16/20,967.90 = 4,741/x
  3. Step 3: Cross multiply
    13,977.16x = 20,967.90 × 4,741
  4. Step 4: Simplify right side
    13,977.16x = 99,408,813.90
  5. Step 5: Solve for x
    x = 99,408,813.90/13,977.16
  6. Step 6: Final answer
    x = 7,112.23

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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.