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Finding the Fourth Proportional to 19,829.12, 29,743.22 and 5,788.58

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Solution

The fourth proportional to 19,829.12, 29,743.22 and 5,788.58 is: 8,682.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,829.12 : 29,743.22 = 5,788.58 : x
  2. Step 2: Convert to fraction form
    19,829.12/29,743.22 = 5,788.58/x
  3. Step 3: Cross multiply
    19,829.12x = 29,743.22 × 5,788.58
  4. Step 4: Simplify right side
    19,829.12x = 172,170,830.77
  5. Step 5: Solve for x
    x = 172,170,830.77/19,829.12
  6. Step 6: Final answer
    x = 8,682.73

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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.