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Finding the Fourth Proportional to 13,028.92, 19,545 and 4,261.48

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Solution

The fourth proportional to 13,028.92, 19,545 and 4,261.48 is: 6,392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,028.92 : 19,545 = 4,261.48 : x
  2. Step 2: Convert to fraction form
    13,028.92/19,545 = 4,261.48/x
  3. Step 3: Cross multiply
    13,028.92x = 19,545 × 4,261.48
  4. Step 4: Simplify right side
    13,028.92x = 83,290,626.60
  5. Step 5: Solve for x
    x = 83,290,626.60/13,028.92
  6. Step 6: Final answer
    x = 6,392.75

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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.