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Finding the Fourth Proportional to 13,977.18, 20,968.11 and 6,957.57

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Solution

The fourth proportional to 13,977.18, 20,968.11 and 6,957.57 is: 10,437.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,977.18 : 20,968.11 = 6,957.57 : x
  2. Step 2: Convert to fraction form
    13,977.18/20,968.11 = 6,957.57/x
  3. Step 3: Cross multiply
    13,977.18x = 20,968.11 × 6,957.57
  4. Step 4: Simplify right side
    13,977.18x = 145,887,093.09
  5. Step 5: Solve for x
    x = 145,887,093.09/13,977.18
  6. Step 6: Final answer
    x = 10,437.52

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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.