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Finding the Fourth Proportional to 12,097.71, 18,146.66 and 3,333.11

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Solution

The fourth proportional to 12,097.71, 18,146.66 and 3,333.11 is: 4,999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.71 : 18,146.66 = 3,333.11 : x
  2. Step 2: Convert to fraction form
    12,097.71/18,146.66 = 3,333.11/x
  3. Step 3: Cross multiply
    12,097.71x = 18,146.66 × 3,333.11
  4. Step 4: Simplify right side
    12,097.71x = 60,484,706.51
  5. Step 5: Solve for x
    x = 60,484,706.51/12,097.71
  6. Step 6: Final answer
    x = 4,999.68

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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.