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Finding the Fourth Proportional to 23,133.24, 34,692.68 and 8,340.24

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Solution

The fourth proportional to 23,133.24, 34,692.68 and 8,340.24 is: 12,507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,133.24 : 34,692.68 = 8,340.24 : x
  2. Step 2: Convert to fraction form
    23,133.24/34,692.68 = 8,340.24/x
  3. Step 3: Cross multiply
    23,133.24x = 34,692.68 × 8,340.24
  4. Step 4: Simplify right side
    23,133.24x = 289,345,298.29
  5. Step 5: Solve for x
    x = 289,345,298.29/23,133.24
  6. Step 6: Final answer
    x = 12,507.77

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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.