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Finding the Fourth Proportional to 19,549, 26,977.62 and 10,717

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Solution

The fourth proportional to 19,549, 26,977.62 and 10,717 is: 14,789.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,549 : 26,977.62 = 10,717 : x
  2. Step 2: Convert to fraction form
    19,549/26,977.62 = 10,717/x
  3. Step 3: Cross multiply
    19,549x = 26,977.62 × 10,717
  4. Step 4: Simplify right side
    19,549x = 289,119,153.54
  5. Step 5: Solve for x
    x = 289,119,153.54/19,549
  6. Step 6: Final answer
    x = 14,789.46

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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.