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Finding the Fourth Proportional to 25,625.76, 35,364.24 and 14,450.40

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Solution

The fourth proportional to 25,625.76, 35,364.24 and 14,450.40 is: 19,941.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,625.76 : 35,364.24 = 14,450.40 : x
  2. Step 2: Convert to fraction form
    25,625.76/35,364.24 = 14,450.40/x
  3. Step 3: Cross multiply
    25,625.76x = 35,364.24 × 14,450.40
  4. Step 4: Simplify right side
    25,625.76x = 511,027,413.70
  5. Step 5: Solve for x
    x = 511,027,413.70/25,625.76
  6. Step 6: Final answer
    x = 19,941.94

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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.