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Finding the Fourth Proportional to 23,855.72, 35,783.90 and 7,215.92

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Solution

The fourth proportional to 23,855.72, 35,783.90 and 7,215.92 is: 10,823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,855.72 : 35,783.90 = 7,215.92 : x
  2. Step 2: Convert to fraction form
    23,855.72/35,783.90 = 7,215.92/x
  3. Step 3: Cross multiply
    23,855.72x = 35,783.90 × 7,215.92
  4. Step 4: Simplify right side
    23,855.72x = 258,213,759.69
  5. Step 5: Solve for x
    x = 258,213,759.69/23,855.72
  6. Step 6: Final answer
    x = 10,823.98

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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.