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Finding the Fourth Proportional to 19,529.09, 29,294.99 and 7,842.31

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Solution

The fourth proportional to 19,529.09, 29,294.99 and 7,842.31 is: 11,764.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,529.09 : 29,294.99 = 7,842.31 : x
  2. Step 2: Convert to fraction form
    19,529.09/29,294.99 = 7,842.31/x
  3. Step 3: Cross multiply
    19,529.09x = 29,294.99 × 7,842.31
  4. Step 4: Simplify right side
    19,529.09x = 229,740,339.40
  5. Step 5: Solve for x
    x = 229,740,339.40/19,529.09
  6. Step 6: Final answer
    x = 11,764.01

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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.