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Finding the Fourth Proportional to 15,458.36, 21,321.24 and 9,794.08

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Solution

The fourth proportional to 15,458.36, 21,321.24 and 9,794.08 is: 13,508.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,458.36 : 21,321.24 = 9,794.08 : x
  2. Step 2: Convert to fraction form
    15,458.36/21,321.24 = 9,794.08/x
  3. Step 3: Cross multiply
    15,458.36x = 21,321.24 × 9,794.08
  4. Step 4: Simplify right side
    15,458.36x = 208,821,930.26
  5. Step 5: Solve for x
    x = 208,821,930.26/15,458.36
  6. Step 6: Final answer
    x = 13,508.67

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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.