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Finding the Fourth Proportional to 17,998.29, 24,837.06 and 9,821.58

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Solution

The fourth proportional to 17,998.29, 24,837.06 and 9,821.58 is: 13,553.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,998.29 : 24,837.06 = 9,821.58 : x
  2. Step 2: Convert to fraction form
    17,998.29/24,837.06 = 9,821.58/x
  3. Step 3: Cross multiply
    17,998.29x = 24,837.06 × 9,821.58
  4. Step 4: Simplify right side
    17,998.29x = 243,939,171.75
  5. Step 5: Solve for x
    x = 243,939,171.75/17,998.29
  6. Step 6: Final answer
    x = 13,553.46

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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.