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Finding the Fourth Proportional to 19,538.70, 26,963.36 and 10,586.44

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Solution

The fourth proportional to 19,538.70, 26,963.36 and 10,586.44 is: 14,609.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,538.70 : 26,963.36 = 10,586.44 : x
  2. Step 2: Convert to fraction form
    19,538.70/26,963.36 = 10,586.44/x
  3. Step 3: Cross multiply
    19,538.70x = 26,963.36 × 10,586.44
  4. Step 4: Simplify right side
    19,538.70x = 285,445,992.84
  5. Step 5: Solve for x
    x = 285,445,992.84/19,538.70
  6. Step 6: Final answer
    x = 14,609.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.