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Finding the Fourth Proportional to 13,977.95, 20,962.46 and 4,616.22

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Solution

The fourth proportional to 13,977.95, 20,962.46 and 4,616.22 is: 6,922.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,977.95 : 20,962.46 = 4,616.22 : x
  2. Step 2: Convert to fraction form
    13,977.95/20,962.46 = 4,616.22/x
  3. Step 3: Cross multiply
    13,977.95x = 20,962.46 × 4,616.22
  4. Step 4: Simplify right side
    13,977.95x = 96,767,417.25
  5. Step 5: Solve for x
    x = 96,767,417.25/13,977.95
  6. Step 6: Final answer
    x = 6,922.86

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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.