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Finding the Fourth Proportional to 34,305.12, 51,464.16 and 11,809.80

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Solution

The fourth proportional to 34,305.12, 51,464.16 and 11,809.80 is: 17,716.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,305.12 : 51,464.16 = 11,809.80 : x
  2. Step 2: Convert to fraction form
    34,305.12/51,464.16 = 11,809.80/x
  3. Step 3: Cross multiply
    34,305.12x = 51,464.16 × 11,809.80
  4. Step 4: Simplify right side
    34,305.12x = 607,781,436.77
  5. Step 5: Solve for x
    x = 607,781,436.77/34,305.12
  6. Step 6: Final answer
    x = 17,716.93

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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.