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Finding the Fourth Proportional to 13,413.60, 18,498.60 and 8,378.24

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Solution

The fourth proportional to 13,413.60, 18,498.60 and 8,378.24 is: 11,554.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.60 : 18,498.60 = 8,378.24 : x
  2. Step 2: Convert to fraction form
    13,413.60/18,498.60 = 8,378.24/x
  3. Step 3: Cross multiply
    13,413.60x = 18,498.60 × 8,378.24
  4. Step 4: Simplify right side
    13,413.60x = 154,985,710.46
  5. Step 5: Solve for x
    x = 154,985,710.46/13,413.60
  6. Step 6: Final answer
    x = 11,554.37

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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.