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Finding the Fourth Proportional to 13,202.58, 19,813.86 and 4,887.66

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Solution

The fourth proportional to 13,202.58, 19,813.86 and 4,887.66 is: 7,335.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.58 : 19,813.86 = 4,887.66 : x
  2. Step 2: Convert to fraction form
    13,202.58/19,813.86 = 4,887.66/x
  3. Step 3: Cross multiply
    13,202.58x = 19,813.86 × 4,887.66
  4. Step 4: Simplify right side
    13,202.58x = 96,843,410.97
  5. Step 5: Solve for x
    x = 96,843,410.97/13,202.58
  6. Step 6: Final answer
    x = 7,335.19

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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.