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Finding the Fourth Proportional to 24,892.56, 37,338.98 and 7,362.54

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Solution

The fourth proportional to 24,892.56, 37,338.98 and 7,362.54 is: 11,043.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,892.56 : 37,338.98 = 7,362.54 : x
  2. Step 2: Convert to fraction form
    24,892.56/37,338.98 = 7,362.54/x
  3. Step 3: Cross multiply
    24,892.56x = 37,338.98 × 7,362.54
  4. Step 4: Simplify right side
    24,892.56x = 274,909,733.81
  5. Step 5: Solve for x
    x = 274,909,733.81/24,892.56
  6. Step 6: Final answer
    x = 11,043.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.