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Finding the Fourth Proportional to 19,401, 26,773.38 and 10,569

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Solution

The fourth proportional to 19,401, 26,773.38 and 10,569 is: 14,585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,401 : 26,773.38 = 10,569 : x
  2. Step 2: Convert to fraction form
    19,401/26,773.38 = 10,569/x
  3. Step 3: Cross multiply
    19,401x = 26,773.38 × 10,569
  4. Step 4: Simplify right side
    19,401x = 282,967,853.22
  5. Step 5: Solve for x
    x = 282,967,853.22/19,401
  6. Step 6: Final answer
    x = 14,585.22

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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.