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Finding the Fourth Proportional to 23,952.77, 35,933.50 and 8,156.99

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Solution

The fourth proportional to 23,952.77, 35,933.50 and 8,156.99 is: 12,236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,952.77 : 35,933.50 = 8,156.99 : x
  2. Step 2: Convert to fraction form
    23,952.77/35,933.50 = 8,156.99/x
  3. Step 3: Cross multiply
    23,952.77x = 35,933.50 × 8,156.99
  4. Step 4: Simplify right side
    23,952.77x = 293,109,000.11
  5. Step 5: Solve for x
    x = 293,109,000.11/23,952.77
  6. Step 6: Final answer
    x = 12,236.96

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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.