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Finding the Fourth Proportional to 17,851.98, 24,635.79 and 9,894.33

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Solution

The fourth proportional to 17,851.98, 24,635.79 and 9,894.33 is: 13,654.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,851.98 : 24,635.79 = 9,894.33 : x
  2. Step 2: Convert to fraction form
    17,851.98/24,635.79 = 9,894.33/x
  3. Step 3: Cross multiply
    17,851.98x = 24,635.79 × 9,894.33
  4. Step 4: Simplify right side
    17,851.98x = 243,754,636.07
  5. Step 5: Solve for x
    x = 243,754,636.07/17,851.98
  6. Step 6: Final answer
    x = 13,654.21

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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.