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Finding the Fourth Proportional to 23,970.60, 35,950.14 and 12,277.80

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Solution

The fourth proportional to 23,970.60, 35,950.14 and 12,277.80 is: 18,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,970.60 : 35,950.14 = 12,277.80 : x
  2. Step 2: Convert to fraction form
    23,970.60/35,950.14 = 12,277.80/x
  3. Step 3: Cross multiply
    23,970.60x = 35,950.14 × 12,277.80
  4. Step 4: Simplify right side
    23,970.60x = 441,388,628.89
  5. Step 5: Solve for x
    x = 441,388,628.89/23,970.60
  6. Step 6: Final answer
    x = 18,413.75

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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.