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Finding the Fourth Proportional to 24,978.96, 37,470.06 and 7,450.56

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Solution

The fourth proportional to 24,978.96, 37,470.06 and 7,450.56 is: 11,176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978.96 : 37,470.06 = 7,450.56 : x
  2. Step 2: Convert to fraction form
    24,978.96/37,470.06 = 7,450.56/x
  3. Step 3: Cross multiply
    24,978.96x = 37,470.06 × 7,450.56
  4. Step 4: Simplify right side
    24,978.96x = 279,172,930.23
  5. Step 5: Solve for x
    x = 279,172,930.23/24,978.96
  6. Step 6: Final answer
    x = 11,176.32

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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.