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Finding the Fourth Proportional to 14,376.25, 21,564.38 and 3,988

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Solution

The fourth proportional to 14,376.25, 21,564.38 and 3,988 is: 5,982.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,376.25 : 21,564.38 = 3,988 : x
  2. Step 2: Convert to fraction form
    14,376.25/21,564.38 = 3,988/x
  3. Step 3: Cross multiply
    14,376.25x = 21,564.38 × 3,988
  4. Step 4: Simplify right side
    14,376.25x = 85,998,747.44
  5. Step 5: Solve for x
    x = 85,998,747.44/14,376.25
  6. Step 6: Final answer
    x = 5,982.00

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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.