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Finding the Fourth Proportional to 12,102.55, 18,156.33 and 6,101.98

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Solution

The fourth proportional to 12,102.55, 18,156.33 and 6,101.98 is: 9,154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.55 : 18,156.33 = 6,101.98 : x
  2. Step 2: Convert to fraction form
    12,102.55/18,156.33 = 6,101.98/x
  3. Step 3: Cross multiply
    12,102.55x = 18,156.33 × 6,101.98
  4. Step 4: Simplify right side
    12,102.55x = 110,789,517.14
  5. Step 5: Solve for x
    x = 110,789,517.14/12,102.55
  6. Step 6: Final answer
    x = 9,154.23

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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.