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Finding the Fourth Proportional to 24,805.14, 37,206.92 and 6,085.22

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Solution

The fourth proportional to 24,805.14, 37,206.92 and 6,085.22 is: 9,127.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,805.14 : 37,206.92 = 6,085.22 : x
  2. Step 2: Convert to fraction form
    24,805.14/37,206.92 = 6,085.22/x
  3. Step 3: Cross multiply
    24,805.14x = 37,206.92 × 6,085.22
  4. Step 4: Simplify right side
    24,805.14x = 226,412,293.72
  5. Step 5: Solve for x
    x = 226,412,293.72/24,805.14
  6. Step 6: Final answer
    x = 9,127.64

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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.