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Finding the Fourth Proportional to 17,809.66, 24,577.50 and 9,852.42

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Solution

The fourth proportional to 17,809.66, 24,577.50 and 9,852.42 is: 13,596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,809.66 : 24,577.50 = 9,852.42 : x
  2. Step 2: Convert to fraction form
    17,809.66/24,577.50 = 9,852.42/x
  3. Step 3: Cross multiply
    17,809.66x = 24,577.50 × 9,852.42
  4. Step 4: Simplify right side
    17,809.66x = 242,147,852.55
  5. Step 5: Solve for x
    x = 242,147,852.55/17,809.66
  6. Step 6: Final answer
    x = 13,596.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.