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Finding the Fourth Proportional to 13,035.96, 19,553.96 and 3,175.24

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Solution

The fourth proportional to 13,035.96, 19,553.96 and 3,175.24 is: 4,762.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,035.96 : 19,553.96 = 3,175.24 : x
  2. Step 2: Convert to fraction form
    13,035.96/19,553.96 = 3,175.24/x
  3. Step 3: Cross multiply
    13,035.96x = 19,553.96 × 3,175.24
  4. Step 4: Simplify right side
    13,035.96x = 62,088,515.95
  5. Step 5: Solve for x
    x = 62,088,515.95/13,035.96
  6. Step 6: Final answer
    x = 4,762.86

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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.