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Finding the Fourth Proportional to 23,413.44, 32,307.36 and 13,980

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Solution

The fourth proportional to 23,413.44, 32,307.36 and 13,980 is: 19,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,413.44 : 32,307.36 = 13,980 : x
  2. Step 2: Convert to fraction form
    23,413.44/32,307.36 = 13,980/x
  3. Step 3: Cross multiply
    23,413.44x = 32,307.36 × 13,980
  4. Step 4: Simplify right side
    23,413.44x = 451,656,892.80
  5. Step 5: Solve for x
    x = 451,656,892.80/23,413.44
  6. Step 6: Final answer
    x = 19,290.50

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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.