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Finding the Fourth Proportional to 12,106.98, 18,153.02 and 4,207.66

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Solution

The fourth proportional to 12,106.98, 18,153.02 and 4,207.66 is: 6,308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.98 : 18,153.02 = 4,207.66 : x
  2. Step 2: Convert to fraction form
    12,106.98/18,153.02 = 4,207.66/x
  3. Step 3: Cross multiply
    12,106.98x = 18,153.02 × 4,207.66
  4. Step 4: Simplify right side
    12,106.98x = 76,381,701.27
  5. Step 5: Solve for x
    x = 76,381,701.27/12,106.98
  6. Step 6: Final answer
    x = 6,308.90

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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.