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Finding the Fourth Proportional to 25,565.67, 38,345.82 and 6,847.64

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Solution

The fourth proportional to 25,565.67, 38,345.82 and 6,847.64 is: 10,270.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,565.67 : 38,345.82 = 6,847.64 : x
  2. Step 2: Convert to fraction form
    25,565.67/38,345.82 = 6,847.64/x
  3. Step 3: Cross multiply
    25,565.67x = 38,345.82 × 6,847.64
  4. Step 4: Simplify right side
    25,565.67x = 262,578,179.14
  5. Step 5: Solve for x
    x = 262,578,179.14/25,565.67
  6. Step 6: Final answer
    x = 10,270.73

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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.