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Finding the Fourth Proportional to 17,809.94, 24,578.40 and 9,852

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Solution

The fourth proportional to 17,809.94, 24,578.40 and 9,852 is: 13,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,809.94 : 24,578.40 = 9,852 : x
  2. Step 2: Convert to fraction form
    17,809.94/24,578.40 = 9,852/x
  3. Step 3: Cross multiply
    17,809.94x = 24,578.40 × 9,852
  4. Step 4: Simplify right side
    17,809.94x = 242,146,396.80
  5. Step 5: Solve for x
    x = 242,146,396.80/17,809.94
  6. Step 6: Final answer
    x = 13,596.14

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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.