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Finding the Fourth Proportional to 19,413.64, 29,126.94 and 7,723.72

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Solution

The fourth proportional to 19,413.64, 29,126.94 and 7,723.72 is: 11,588.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,413.64 : 29,126.94 = 7,723.72 : x
  2. Step 2: Convert to fraction form
    19,413.64/29,126.94 = 7,723.72/x
  3. Step 3: Cross multiply
    19,413.64x = 29,126.94 × 7,723.72
  4. Step 4: Simplify right side
    19,413.64x = 224,968,329.02
  5. Step 5: Solve for x
    x = 224,968,329.02/19,413.64
  6. Step 6: Final answer
    x = 11,588.16

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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.