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Finding the Fourth Proportional to 13,099.25, 19,652.48 and 3,865.25

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Solution

The fourth proportional to 13,099.25, 19,652.48 and 3,865.25 is: 5,798.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.25 : 19,652.48 = 3,865.25 : x
  2. Step 2: Convert to fraction form
    13,099.25/19,652.48 = 3,865.25/x
  3. Step 3: Cross multiply
    13,099.25x = 19,652.48 × 3,865.25
  4. Step 4: Simplify right side
    13,099.25x = 75,961,748.32
  5. Step 5: Solve for x
    x = 75,961,748.32/13,099.25
  6. Step 6: Final answer
    x = 5,798.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.