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Finding the Fourth Proportional to 17,841.74, 24,620.63 and 9,883.49

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Solution

The fourth proportional to 17,841.74, 24,620.63 and 9,883.49 is: 13,638.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,841.74 : 24,620.63 = 9,883.49 : x
  2. Step 2: Convert to fraction form
    17,841.74/24,620.63 = 9,883.49/x
  3. Step 3: Cross multiply
    17,841.74x = 24,620.63 × 9,883.49
  4. Step 4: Simplify right side
    17,841.74x = 243,337,577.88
  5. Step 5: Solve for x
    x = 243,337,577.88/17,841.74
  6. Step 6: Final answer
    x = 13,638.67

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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.