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Finding the Fourth Proportional to 12,133.57, 18,187.93 and 6,861.01

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Solution

The fourth proportional to 12,133.57, 18,187.93 and 6,861.01 is: 10,284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.57 : 18,187.93 = 6,861.01 : x
  2. Step 2: Convert to fraction form
    12,133.57/18,187.93 = 6,861.01/x
  3. Step 3: Cross multiply
    12,133.57x = 18,187.93 × 6,861.01
  4. Step 4: Simplify right side
    12,133.57x = 124,787,569.61
  5. Step 5: Solve for x
    x = 124,787,569.61/12,133.57
  6. Step 6: Final answer
    x = 10,284.49

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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.