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Finding the Fourth Proportional to 19,638.86, 29,453.85 and 5,598.58

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Solution

The fourth proportional to 19,638.86, 29,453.85 and 5,598.58 is: 8,396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,638.86 : 29,453.85 = 5,598.58 : x
  2. Step 2: Convert to fraction form
    19,638.86/29,453.85 = 5,598.58/x
  3. Step 3: Cross multiply
    19,638.86x = 29,453.85 × 5,598.58
  4. Step 4: Simplify right side
    19,638.86x = 164,899,735.53
  5. Step 5: Solve for x
    x = 164,899,735.53/19,638.86
  6. Step 6: Final answer
    x = 8,396.60

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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.