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Finding the Fourth Proportional to 19,709.86, 29,571.78 and 12,305.74

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Solution

The fourth proportional to 19,709.86, 29,571.78 and 12,305.74 is: 18,462.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.86 : 29,571.78 = 12,305.74 : x
  2. Step 2: Convert to fraction form
    19,709.86/29,571.78 = 12,305.74/x
  3. Step 3: Cross multiply
    19,709.86x = 29,571.78 × 12,305.74
  4. Step 4: Simplify right side
    19,709.86x = 363,902,636.02
  5. Step 5: Solve for x
    x = 363,902,636.02/19,709.86
  6. Step 6: Final answer
    x = 18,462.97

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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.