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Finding the Fourth Proportional to 12,101.81, 18,153.84 and 4,706.83

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Solution

The fourth proportional to 12,101.81, 18,153.84 and 4,706.83 is: 7,060.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.81 : 18,153.84 = 4,706.83 : x
  2. Step 2: Convert to fraction form
    12,101.81/18,153.84 = 4,706.83/x
  3. Step 3: Cross multiply
    12,101.81x = 18,153.84 × 4,706.83
  4. Step 4: Simplify right side
    12,101.81x = 85,447,015.19
  5. Step 5: Solve for x
    x = 85,447,015.19/12,101.81
  6. Step 6: Final answer
    x = 7,060.68

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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.