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Finding the Fourth Proportional to 14,149.44, 21,223.08 and 5,827.32

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Solution

The fourth proportional to 14,149.44, 21,223.08 and 5,827.32 is: 8,740.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,149.44 : 21,223.08 = 5,827.32 : x
  2. Step 2: Convert to fraction form
    14,149.44/21,223.08 = 5,827.32/x
  3. Step 3: Cross multiply
    14,149.44x = 21,223.08 × 5,827.32
  4. Step 4: Simplify right side
    14,149.44x = 123,673,678.55
  5. Step 5: Solve for x
    x = 123,673,678.55/14,149.44
  6. Step 6: Final answer
    x = 8,740.54

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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.