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Finding the Fourth Proportional to 14,563.06, 21,847.83 and 4,174

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Solution

The fourth proportional to 14,563.06, 21,847.83 and 4,174 is: 6,261.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.06 : 21,847.83 = 4,174 : x
  2. Step 2: Convert to fraction form
    14,563.06/21,847.83 = 4,174/x
  3. Step 3: Cross multiply
    14,563.06x = 21,847.83 × 4,174
  4. Step 4: Simplify right side
    14,563.06x = 91,192,842.42
  5. Step 5: Solve for x
    x = 91,192,842.42/14,563.06
  6. Step 6: Final answer
    x = 6,261.93

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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.