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Finding the Fourth Proportional to 20,185.26, 30,266.91 and 7,034.10

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Solution

The fourth proportional to 20,185.26, 30,266.91 and 7,034.10 is: 10,547.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,185.26 : 30,266.91 = 7,034.10 : x
  2. Step 2: Convert to fraction form
    20,185.26/30,266.91 = 7,034.10/x
  3. Step 3: Cross multiply
    20,185.26x = 30,266.91 × 7,034.10
  4. Step 4: Simplify right side
    20,185.26x = 212,900,471.63
  5. Step 5: Solve for x
    x = 212,900,471.63/20,185.26
  6. Step 6: Final answer
    x = 10,547.32

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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.