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Finding the Fourth Proportional to 17,458.72, 26,189.70 and 7,071.28

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Solution

The fourth proportional to 17,458.72, 26,189.70 and 7,071.28 is: 10,607.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,458.72 : 26,189.70 = 7,071.28 : x
  2. Step 2: Convert to fraction form
    17,458.72/26,189.70 = 7,071.28/x
  3. Step 3: Cross multiply
    17,458.72x = 26,189.70 × 7,071.28
  4. Step 4: Simplify right side
    17,458.72x = 185,194,701.82
  5. Step 5: Solve for x
    x = 185,194,701.82/17,458.72
  6. Step 6: Final answer
    x = 10,607.58

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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.