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Finding the Fourth Proportional to 12,436.94, 18,661.39 and 7,755.75

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Solution

The fourth proportional to 12,436.94, 18,661.39 and 7,755.75 is: 11,637.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,436.94 : 18,661.39 = 7,755.75 : x
  2. Step 2: Convert to fraction form
    12,436.94/18,661.39 = 7,755.75/x
  3. Step 3: Cross multiply
    12,436.94x = 18,661.39 × 7,755.75
  4. Step 4: Simplify right side
    12,436.94x = 144,733,056.10
  5. Step 5: Solve for x
    x = 144,733,056.10/12,436.94
  6. Step 6: Final answer
    x = 11,637.35

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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.