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Finding the Fourth Proportional to 19,605.64, 29,413.32 and 16,101.60

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Solution

The fourth proportional to 19,605.64, 29,413.32 and 16,101.60 is: 24,156.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,605.64 : 29,413.32 = 16,101.60 : x
  2. Step 2: Convert to fraction form
    19,605.64/29,413.32 = 16,101.60/x
  3. Step 3: Cross multiply
    19,605.64x = 29,413.32 × 16,101.60
  4. Step 4: Simplify right side
    19,605.64x = 473,601,513.31
  5. Step 5: Solve for x
    x = 473,601,513.31/19,605.64
  6. Step 6: Final answer
    x = 24,156.39

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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.