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Finding the Fourth Proportional to 12,102.34, 16,701.24 and 6,797.50

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Solution

The fourth proportional to 12,102.34, 16,701.24 and 6,797.50 is: 9,380.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.34 : 16,701.24 = 6,797.50 : x
  2. Step 2: Convert to fraction form
    12,102.34/16,701.24 = 6,797.50/x
  3. Step 3: Cross multiply
    12,102.34x = 16,701.24 × 6,797.50
  4. Step 4: Simplify right side
    12,102.34x = 113,526,678.90
  5. Step 5: Solve for x
    x = 113,526,678.90/12,102.34
  6. Step 6: Final answer
    x = 9,380.56

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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.