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Finding the Fourth Proportional to 17,850.84, 24,634.14 and 9,893.58

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Solution

The fourth proportional to 17,850.84, 24,634.14 and 9,893.58 is: 13,653.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,850.84 : 24,634.14 = 9,893.58 : x
  2. Step 2: Convert to fraction form
    17,850.84/24,634.14 = 9,893.58/x
  3. Step 3: Cross multiply
    17,850.84x = 24,634.14 × 9,893.58
  4. Step 4: Simplify right side
    17,850.84x = 243,719,834.82
  5. Step 5: Solve for x
    x = 243,719,834.82/17,850.84
  6. Step 6: Final answer
    x = 13,653.13

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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.