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Finding the Fourth Proportional to 13,383.58, 18,467.84 and 7,413.77

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Solution

The fourth proportional to 13,383.58, 18,467.84 and 7,413.77 is: 10,230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.58 : 18,467.84 = 7,413.77 : x
  2. Step 2: Convert to fraction form
    13,383.58/18,467.84 = 7,413.77/x
  3. Step 3: Cross multiply
    13,383.58x = 18,467.84 × 7,413.77
  4. Step 4: Simplify right side
    13,383.58x = 136,916,244.35
  5. Step 5: Solve for x
    x = 136,916,244.35/13,383.58
  6. Step 6: Final answer
    x = 10,230.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.