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Finding the Fourth Proportional to 12,142.95, 16,757.69 and 7,107.64

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Solution

The fourth proportional to 12,142.95, 16,757.69 and 7,107.64 is: 9,808.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.95 : 16,757.69 = 7,107.64 : x
  2. Step 2: Convert to fraction form
    12,142.95/16,757.69 = 7,107.64/x
  3. Step 3: Cross multiply
    12,142.95x = 16,757.69 × 7,107.64
  4. Step 4: Simplify right side
    12,142.95x = 119,107,592.21
  5. Step 5: Solve for x
    x = 119,107,592.21/12,142.95
  6. Step 6: Final answer
    x = 9,808.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.