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Finding the Fourth Proportional to 24,926.23, 37,383 and 7,391.98

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Solution

The fourth proportional to 24,926.23, 37,383 and 7,391.98 is: 11,086.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,926.23 : 37,383 = 7,391.98 : x
  2. Step 2: Convert to fraction form
    24,926.23/37,383 = 7,391.98/x
  3. Step 3: Cross multiply
    24,926.23x = 37,383 × 7,391.98
  4. Step 4: Simplify right side
    24,926.23x = 276,334,388.34
  5. Step 5: Solve for x
    x = 276,334,388.34/24,926.23
  6. Step 6: Final answer
    x = 11,086.09

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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.