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Finding the Fourth Proportional to 13,598.57, 20,396.33 and 4,238.90

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Solution

The fourth proportional to 13,598.57, 20,396.33 and 4,238.90 is: 6,357.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.57 : 20,396.33 = 4,238.90 : x
  2. Step 2: Convert to fraction form
    13,598.57/20,396.33 = 4,238.90/x
  3. Step 3: Cross multiply
    13,598.57x = 20,396.33 × 4,238.90
  4. Step 4: Simplify right side
    13,598.57x = 86,457,880.06
  5. Step 5: Solve for x
    x = 86,457,880.06/13,598.57
  6. Step 6: Final answer
    x = 6,357.87

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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.