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Finding the Fourth Proportional to 19,539, 26,963.66 and 10,586.48

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Solution

The fourth proportional to 19,539, 26,963.66 and 10,586.48 is: 14,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,539 : 26,963.66 = 10,586.48 : x
  2. Step 2: Convert to fraction form
    19,539/26,963.66 = 10,586.48/x
  3. Step 3: Cross multiply
    19,539x = 26,963.66 × 10,586.48
  4. Step 4: Simplify right side
    19,539x = 285,450,138.96
  5. Step 5: Solve for x
    x = 285,450,138.96/19,539
  6. Step 6: Final answer
    x = 14,609.25

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Why These Related Problems?

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