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Finding the Fourth Proportional to 17,810.82, 24,577.97 and 9,852.57

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Solution

The fourth proportional to 17,810.82, 24,577.97 and 9,852.57 is: 13,596.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,810.82 : 24,577.97 = 9,852.57 : x
  2. Step 2: Convert to fraction form
    17,810.82/24,577.97 = 9,852.57/x
  3. Step 3: Cross multiply
    17,810.82x = 24,577.97 × 9,852.57
  4. Step 4: Simplify right side
    17,810.82x = 242,156,120.62
  5. Step 5: Solve for x
    x = 242,156,120.62/17,810.82
  6. Step 6: Final answer
    x = 13,596.01

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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.