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Finding the Fourth Proportional to 29,413.14, 40,590 and 15,984.14

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Solution

The fourth proportional to 29,413.14, 40,590 and 15,984.14 is: 22,058.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,413.14 : 40,590 = 15,984.14 : x
  2. Step 2: Convert to fraction form
    29,413.14/40,590 = 15,984.14/x
  3. Step 3: Cross multiply
    29,413.14x = 40,590 × 15,984.14
  4. Step 4: Simplify right side
    29,413.14x = 648,796,242.60
  5. Step 5: Solve for x
    x = 648,796,242.60/29,413.14
  6. Step 6: Final answer
    x = 22,058.04

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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.