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Finding the Fourth Proportional to 24,892.26, 37,345.68 and 7,362.56

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Solution

The fourth proportional to 24,892.26, 37,345.68 and 7,362.56 is: 11,045.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,892.26 : 37,345.68 = 7,362.56 : x
  2. Step 2: Convert to fraction form
    24,892.26/37,345.68 = 7,362.56/x
  3. Step 3: Cross multiply
    24,892.26x = 37,345.68 × 7,362.56
  4. Step 4: Simplify right side
    24,892.26x = 274,959,623.01
  5. Step 5: Solve for x
    x = 274,959,623.01/24,892.26
  6. Step 6: Final answer
    x = 11,045.99

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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.