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Finding the Fourth Proportional to 14,067.60, 19,413.36 and 7,780.02

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Solution

The fourth proportional to 14,067.60, 19,413.36 and 7,780.02 is: 10,736.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,067.60 : 19,413.36 = 7,780.02 : x
  2. Step 2: Convert to fraction form
    14,067.60/19,413.36 = 7,780.02/x
  3. Step 3: Cross multiply
    14,067.60x = 19,413.36 × 7,780.02
  4. Step 4: Simplify right side
    14,067.60x = 151,036,329.07
  5. Step 5: Solve for x
    x = 151,036,329.07/14,067.60
  6. Step 6: Final answer
    x = 10,736.47

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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.