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Finding the Fourth Proportional to 19,564.40, 29,346.60 and 6,413.60

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Solution

The fourth proportional to 19,564.40, 29,346.60 and 6,413.60 is: 9,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,564.40 : 29,346.60 = 6,413.60 : x
  2. Step 2: Convert to fraction form
    19,564.40/29,346.60 = 6,413.60/x
  3. Step 3: Cross multiply
    19,564.40x = 29,346.60 × 6,413.60
  4. Step 4: Simplify right side
    19,564.40x = 188,217,353.76
  5. Step 5: Solve for x
    x = 188,217,353.76/19,564.40
  6. Step 6: Final answer
    x = 9,620.40

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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.