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Finding the Fourth Proportional to 17,837.75, 24,616.31 and 9,880.11

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Solution

The fourth proportional to 17,837.75, 24,616.31 and 9,880.11 is: 13,634.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,837.75 : 24,616.31 = 9,880.11 : x
  2. Step 2: Convert to fraction form
    17,837.75/24,616.31 = 9,880.11/x
  3. Step 3: Cross multiply
    17,837.75x = 24,616.31 × 9,880.11
  4. Step 4: Simplify right side
    17,837.75x = 243,211,801.19
  5. Step 5: Solve for x
    x = 243,211,801.19/17,837.75
  6. Step 6: Final answer
    x = 13,634.67

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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.