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Finding the Fourth Proportional to 17,401.89, 24,014.25 and 9,848.09

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Solution

The fourth proportional to 17,401.89, 24,014.25 and 9,848.09 is: 13,590.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,401.89 : 24,014.25 = 9,848.09 : x
  2. Step 2: Convert to fraction form
    17,401.89/24,014.25 = 9,848.09/x
  3. Step 3: Cross multiply
    17,401.89x = 24,014.25 × 9,848.09
  4. Step 4: Simplify right side
    17,401.89x = 236,494,375.21
  5. Step 5: Solve for x
    x = 236,494,375.21/17,401.89
  6. Step 6: Final answer
    x = 13,590.15

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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.