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Finding the Fourth Proportional to 19,830.30, 29,744.58 and 6,682.61

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Solution

The fourth proportional to 19,830.30, 29,744.58 and 6,682.61 is: 10,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.30 : 29,744.58 = 6,682.61 : x
  2. Step 2: Convert to fraction form
    19,830.30/29,744.58 = 6,682.61/x
  3. Step 3: Cross multiply
    19,830.30x = 29,744.58 × 6,682.61
  4. Step 4: Simplify right side
    19,830.30x = 198,771,527.18
  5. Step 5: Solve for x
    x = 198,771,527.18/19,830.30
  6. Step 6: Final answer
    x = 10,023.63

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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.