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Finding the Fourth Proportional to 23,181.80, 34,769 and 7,384.78

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Solution

The fourth proportional to 23,181.80, 34,769 and 7,384.78 is: 11,075.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,181.80 : 34,769 = 7,384.78 : x
  2. Step 2: Convert to fraction form
    23,181.80/34,769 = 7,384.78/x
  3. Step 3: Cross multiply
    23,181.80x = 34,769 × 7,384.78
  4. Step 4: Simplify right side
    23,181.80x = 256,761,415.82
  5. Step 5: Solve for x
    x = 256,761,415.82/23,181.80
  6. Step 6: Final answer
    x = 11,075.99

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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.