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Finding the Fourth Proportional to 13,153.70, 19,735.16 and 6,825.54

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Solution

The fourth proportional to 13,153.70, 19,735.16 and 6,825.54 is: 10,240.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.70 : 19,735.16 = 6,825.54 : x
  2. Step 2: Convert to fraction form
    13,153.70/19,735.16 = 6,825.54/x
  3. Step 3: Cross multiply
    13,153.70x = 19,735.16 × 6,825.54
  4. Step 4: Simplify right side
    13,153.70x = 134,703,123.99
  5. Step 5: Solve for x
    x = 134,703,123.99/13,153.70
  6. Step 6: Final answer
    x = 10,240.70

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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.