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Finding the Fourth Proportional to 23,614.14, 35,413.65 and 9,577.68

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Solution

The fourth proportional to 23,614.14, 35,413.65 and 9,577.68 is: 14,363.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,614.14 : 35,413.65 = 9,577.68 : x
  2. Step 2: Convert to fraction form
    23,614.14/35,413.65 = 9,577.68/x
  3. Step 3: Cross multiply
    23,614.14x = 35,413.65 × 9,577.68
  4. Step 4: Simplify right side
    23,614.14x = 339,180,607.33
  5. Step 5: Solve for x
    x = 339,180,607.33/23,614.14
  6. Step 6: Final answer
    x = 14,363.45

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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.