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Finding the Fourth Proportional to 13,202.29, 19,754.22 and 13,054.66

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Solution

The fourth proportional to 13,202.29, 19,754.22 and 13,054.66 is: 19,533.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.29 : 19,754.22 = 13,054.66 : x
  2. Step 2: Convert to fraction form
    13,202.29/19,754.22 = 13,054.66/x
  3. Step 3: Cross multiply
    13,202.29x = 19,754.22 × 13,054.66
  4. Step 4: Simplify right side
    13,202.29x = 257,884,625.67
  5. Step 5: Solve for x
    x = 257,884,625.67/13,202.29
  6. Step 6: Final answer
    x = 19,533.33

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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.