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Finding the Fourth Proportional to 19,842.89, 29,900.86 and 16,410.09

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Solution

The fourth proportional to 19,842.89, 29,900.86 and 16,410.09 is: 24,728.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.89 : 29,900.86 = 16,410.09 : x
  2. Step 2: Convert to fraction form
    19,842.89/29,900.86 = 16,410.09/x
  3. Step 3: Cross multiply
    19,842.89x = 29,900.86 × 16,410.09
  4. Step 4: Simplify right side
    19,842.89x = 490,675,803.68
  5. Step 5: Solve for x
    x = 490,675,803.68/19,842.89
  6. Step 6: Final answer
    x = 24,728.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.