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Finding the Fourth Proportional to 22,038.82, 30,413.89 and 11,967.28

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Solution

The fourth proportional to 22,038.82, 30,413.89 and 11,967.28 is: 16,515.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,038.82 : 30,413.89 = 11,967.28 : x
  2. Step 2: Convert to fraction form
    22,038.82/30,413.89 = 11,967.28/x
  3. Step 3: Cross multiply
    22,038.82x = 30,413.89 × 11,967.28
  4. Step 4: Simplify right side
    22,038.82x = 363,971,537.52
  5. Step 5: Solve for x
    x = 363,971,537.52/22,038.82
  6. Step 6: Final answer
    x = 16,515.02

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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.