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Finding the Fourth Proportional to 14,557.34, 21,817.74 and 6,227.57

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Solution

The fourth proportional to 14,557.34, 21,817.74 and 6,227.57 is: 9,333.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557.34 : 21,817.74 = 6,227.57 : x
  2. Step 2: Convert to fraction form
    14,557.34/21,817.74 = 6,227.57/x
  3. Step 3: Cross multiply
    14,557.34x = 21,817.74 × 6,227.57
  4. Step 4: Simplify right side
    14,557.34x = 135,871,503.09
  5. Step 5: Solve for x
    x = 135,871,503.09/14,557.34
  6. Step 6: Final answer
    x = 9,333.54

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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.