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Finding the Fourth Proportional to 17,809.81, 24,576 and 9,850.05

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Solution

The fourth proportional to 17,809.81, 24,576 and 9,850.05 is: 13,592.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,809.81 : 24,576 = 9,850.05 : x
  2. Step 2: Convert to fraction form
    17,809.81/24,576 = 9,850.05/x
  3. Step 3: Cross multiply
    17,809.81x = 24,576 × 9,850.05
  4. Step 4: Simplify right side
    17,809.81x = 242,074,828.80
  5. Step 5: Solve for x
    x = 242,074,828.80/17,809.81
  6. Step 6: Final answer
    x = 13,592.22

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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.