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Finding the Fourth Proportional to 25,763.06, 38,413.83 and 25,296.50

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Solution

The fourth proportional to 25,763.06, 38,413.83 and 25,296.50 is: 37,718.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,763.06 : 38,413.83 = 25,296.50 : x
  2. Step 2: Convert to fraction form
    25,763.06/38,413.83 = 25,296.50/x
  3. Step 3: Cross multiply
    25,763.06x = 38,413.83 × 25,296.50
  4. Step 4: Simplify right side
    25,763.06x = 971,735,324.11
  5. Step 5: Solve for x
    x = 971,735,324.11/25,763.06
  6. Step 6: Final answer
    x = 37,718.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.