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Finding the Fourth Proportional to 15,399.91, 23,080.68 and 7,071.07

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Solution

The fourth proportional to 15,399.91, 23,080.68 and 7,071.07 is: 10,597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,399.91 : 23,080.68 = 7,071.07 : x
  2. Step 2: Convert to fraction form
    15,399.91/23,080.68 = 7,071.07/x
  3. Step 3: Cross multiply
    15,399.91x = 23,080.68 × 7,071.07
  4. Step 4: Simplify right side
    15,399.91x = 163,205,103.93
  5. Step 5: Solve for x
    x = 163,205,103.93/15,399.91
  6. Step 6: Final answer
    x = 10,597.80

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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.