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Finding the Fourth Proportional to 14,144.36, 21,215.04 and 5,825.40

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Solution

The fourth proportional to 14,144.36, 21,215.04 and 5,825.40 is: 8,737.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144.36 : 21,215.04 = 5,825.40 : x
  2. Step 2: Convert to fraction form
    14,144.36/21,215.04 = 5,825.40/x
  3. Step 3: Cross multiply
    14,144.36x = 21,215.04 × 5,825.40
  4. Step 4: Simplify right side
    14,144.36x = 123,586,094.02
  5. Step 5: Solve for x
    x = 123,586,094.02/14,144.36
  6. Step 6: Final answer
    x = 8,737.48

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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.