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Finding the Fourth Proportional to 19,406.30, 29,109.44 and 8,305.79

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Solution

The fourth proportional to 19,406.30, 29,109.44 and 8,305.79 is: 12,458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,406.30 : 29,109.44 = 8,305.79 : x
  2. Step 2: Convert to fraction form
    19,406.30/29,109.44 = 8,305.79/x
  3. Step 3: Cross multiply
    19,406.30x = 29,109.44 × 8,305.79
  4. Step 4: Simplify right side
    19,406.30x = 241,776,895.66
  5. Step 5: Solve for x
    x = 241,776,895.66/19,406.30
  6. Step 6: Final answer
    x = 12,458.68

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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.