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Finding the Fourth Proportional to 19,769.23, 29,653.67 and 8,074.24

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Solution

The fourth proportional to 19,769.23, 29,653.67 and 8,074.24 is: 12,111.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,769.23 : 29,653.67 = 8,074.24 : x
  2. Step 2: Convert to fraction form
    19,769.23/29,653.67 = 8,074.24/x
  3. Step 3: Cross multiply
    19,769.23x = 29,653.67 × 8,074.24
  4. Step 4: Simplify right side
    19,769.23x = 239,430,848.46
  5. Step 5: Solve for x
    x = 239,430,848.46/19,769.23
  6. Step 6: Final answer
    x = 12,111.29

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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.