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Finding the Fourth Proportional to 17,809.80, 24,577.74 and 9,851.82

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Solution

The fourth proportional to 17,809.80, 24,577.74 and 9,851.82 is: 13,595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,809.80 : 24,577.74 = 9,851.82 : x
  2. Step 2: Convert to fraction form
    17,809.80/24,577.74 = 9,851.82/x
  3. Step 3: Cross multiply
    17,809.80x = 24,577.74 × 9,851.82
  4. Step 4: Simplify right side
    17,809.80x = 242,135,470.49
  5. Step 5: Solve for x
    x = 242,135,470.49/17,809.80
  6. Step 6: Final answer
    x = 13,595.63

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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.