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Finding the Fourth Proportional to 19,561.40, 29,339.12 and 6,413.76

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Solution

The fourth proportional to 19,561.40, 29,339.12 and 6,413.76 is: 9,619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,561.40 : 29,339.12 = 6,413.76 : x
  2. Step 2: Convert to fraction form
    19,561.40/29,339.12 = 6,413.76/x
  3. Step 3: Cross multiply
    19,561.40x = 29,339.12 × 6,413.76
  4. Step 4: Simplify right side
    19,561.40x = 188,174,074.29
  5. Step 5: Solve for x
    x = 188,174,074.29/19,561.40
  6. Step 6: Final answer
    x = 9,619.66

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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.