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Finding the Fourth Proportional to 14,466.84, 21,697.56 and 5,697.24

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Solution

The fourth proportional to 14,466.84, 21,697.56 and 5,697.24 is: 8,544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,466.84 : 21,697.56 = 5,697.24 : x
  2. Step 2: Convert to fraction form
    14,466.84/21,697.56 = 5,697.24/x
  3. Step 3: Cross multiply
    14,466.84x = 21,697.56 × 5,697.24
  4. Step 4: Simplify right side
    14,466.84x = 123,616,206.73
  5. Step 5: Solve for x
    x = 123,616,206.73/14,466.84
  6. Step 6: Final answer
    x = 8,544.80

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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.