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Finding the Fourth Proportional to 15,698.12, 23,556.36 and 5,844.38

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Solution

The fourth proportional to 15,698.12, 23,556.36 and 5,844.38 is: 8,769.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,698.12 : 23,556.36 = 5,844.38 : x
  2. Step 2: Convert to fraction form
    15,698.12/23,556.36 = 5,844.38/x
  3. Step 3: Cross multiply
    15,698.12x = 23,556.36 × 5,844.38
  4. Step 4: Simplify right side
    15,698.12x = 137,672,319.26
  5. Step 5: Solve for x
    x = 137,672,319.26/15,698.12
  6. Step 6: Final answer
    x = 8,769.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.