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Finding the Fourth Proportional to 13,203.32, 19,805.64 and 7,355.60

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Solution

The fourth proportional to 13,203.32, 19,805.64 and 7,355.60 is: 11,033.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203.32 : 19,805.64 = 7,355.60 : x
  2. Step 2: Convert to fraction form
    13,203.32/19,805.64 = 7,355.60/x
  3. Step 3: Cross multiply
    13,203.32x = 19,805.64 × 7,355.60
  4. Step 4: Simplify right side
    13,203.32x = 145,682,365.58
  5. Step 5: Solve for x
    x = 145,682,365.58/13,203.32
  6. Step 6: Final answer
    x = 11,033.77

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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.