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Finding the Fourth Proportional to 25,604.16, 38,413.08 and 8,074.32

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Solution

The fourth proportional to 25,604.16, 38,413.08 and 8,074.32 is: 12,113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,604.16 : 38,413.08 = 8,074.32 : x
  2. Step 2: Convert to fraction form
    25,604.16/38,413.08 = 8,074.32/x
  3. Step 3: Cross multiply
    25,604.16x = 38,413.08 × 8,074.32
  4. Step 4: Simplify right side
    25,604.16x = 310,159,500.11
  5. Step 5: Solve for x
    x = 310,159,500.11/25,604.16
  6. Step 6: Final answer
    x = 12,113.64

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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.