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Finding the Fourth Proportional to 12,102.98, 18,156.76 and 4,205.18

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Solution

The fourth proportional to 12,102.98, 18,156.76 and 4,205.18 is: 6,308.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.98 : 18,156.76 = 4,205.18 : x
  2. Step 2: Convert to fraction form
    12,102.98/18,156.76 = 4,205.18/x
  3. Step 3: Cross multiply
    12,102.98x = 18,156.76 × 4,205.18
  4. Step 4: Simplify right side
    12,102.98x = 76,352,478.90
  5. Step 5: Solve for x
    x = 76,352,478.90/12,102.98
  6. Step 6: Final answer
    x = 6,308.57

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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.