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Finding the Fourth Proportional to 17,029.72, 23,500.58 and 9,858.64

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Solution

The fourth proportional to 17,029.72, 23,500.58 and 9,858.64 is: 13,604.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,029.72 : 23,500.58 = 9,858.64 : x
  2. Step 2: Convert to fraction form
    17,029.72/23,500.58 = 9,858.64/x
  3. Step 3: Cross multiply
    17,029.72x = 23,500.58 × 9,858.64
  4. Step 4: Simplify right side
    17,029.72x = 231,683,758.01
  5. Step 5: Solve for x
    x = 231,683,758.01/17,029.72
  6. Step 6: Final answer
    x = 13,604.67

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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.