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Finding the Fourth Proportional to 24,978.63, 37,474.63 and 7,448.61

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Solution

The fourth proportional to 24,978.63, 37,474.63 and 7,448.61 is: 11,174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978.63 : 37,474.63 = 7,448.61 : x
  2. Step 2: Convert to fraction form
    24,978.63/37,474.63 = 7,448.61/x
  3. Step 3: Cross multiply
    24,978.63x = 37,474.63 × 7,448.61
  4. Step 4: Simplify right side
    24,978.63x = 279,133,885.14
  5. Step 5: Solve for x
    x = 279,133,885.14/24,978.63
  6. Step 6: Final answer
    x = 11,174.91

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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.