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Finding the Fourth Proportional to 13,093.94, 19,641.11 and 12,429.33

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Solution

The fourth proportional to 13,093.94, 19,641.11 and 12,429.33 is: 18,644.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,093.94 : 19,641.11 = 12,429.33 : x
  2. Step 2: Convert to fraction form
    13,093.94/19,641.11 = 12,429.33/x
  3. Step 3: Cross multiply
    13,093.94x = 19,641.11 × 12,429.33
  4. Step 4: Simplify right side
    13,093.94x = 244,125,868.83
  5. Step 5: Solve for x
    x = 244,125,868.83/13,093.94
  6. Step 6: Final answer
    x = 18,644.19

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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.