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Finding the Fourth Proportional to 25,986.65, 38,927.35 and 20,413.90

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Solution

The fourth proportional to 25,986.65, 38,927.35 and 20,413.90 is: 30,579.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,986.65 : 38,927.35 = 20,413.90 : x
  2. Step 2: Convert to fraction form
    25,986.65/38,927.35 = 20,413.90/x
  3. Step 3: Cross multiply
    25,986.65x = 38,927.35 × 20,413.90
  4. Step 4: Simplify right side
    25,986.65x = 794,658,908.74
  5. Step 5: Solve for x
    x = 794,658,908.74/25,986.65
  6. Step 6: Final answer
    x = 30,579.51

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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.