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Finding the Fourth Proportional to 17,850.12, 24,634.64 and 9,894.84

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Solution

The fourth proportional to 17,850.12, 24,634.64 and 9,894.84 is: 13,655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,850.12 : 24,634.64 = 9,894.84 : x
  2. Step 2: Convert to fraction form
    17,850.12/24,634.64 = 9,894.84/x
  3. Step 3: Cross multiply
    17,850.12x = 24,634.64 × 9,894.84
  4. Step 4: Simplify right side
    17,850.12x = 243,755,821.26
  5. Step 5: Solve for x
    x = 243,755,821.26/17,850.12
  6. Step 6: Final answer
    x = 13,655.70

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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.