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Finding the Fourth Proportional to 14,658.30, 21,982.86 and 5,297.09

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Solution

The fourth proportional to 14,658.30, 21,982.86 and 5,297.09 is: 7,943.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658.30 : 21,982.86 = 5,297.09 : x
  2. Step 2: Convert to fraction form
    14,658.30/21,982.86 = 5,297.09/x
  3. Step 3: Cross multiply
    14,658.30x = 21,982.86 × 5,297.09
  4. Step 4: Simplify right side
    14,658.30x = 116,445,077.96
  5. Step 5: Solve for x
    x = 116,445,077.96/14,658.30
  6. Step 6: Final answer
    x = 7,943.97

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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.