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Finding the Fourth Proportional to 19,413.20, 29,141.40 and 10,665.20

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Solution

The fourth proportional to 19,413.20, 29,141.40 and 10,665.20 is: 16,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,413.20 : 29,141.40 = 10,665.20 : x
  2. Step 2: Convert to fraction form
    19,413.20/29,141.40 = 10,665.20/x
  3. Step 3: Cross multiply
    19,413.20x = 29,141.40 × 10,665.20
  4. Step 4: Simplify right side
    19,413.20x = 310,798,859.28
  5. Step 5: Solve for x
    x = 310,798,859.28/19,413.20
  6. Step 6: Final answer
    x = 16,009.67

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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.