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Finding the Fourth Proportional to 24,904.50, 37,357.73 and 8,266.02

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Solution

The fourth proportional to 24,904.50, 37,357.73 and 8,266.02 is: 12,399.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,904.50 : 37,357.73 = 8,266.02 : x
  2. Step 2: Convert to fraction form
    24,904.50/37,357.73 = 8,266.02/x
  3. Step 3: Cross multiply
    24,904.50x = 37,357.73 × 8,266.02
  4. Step 4: Simplify right side
    24,904.50x = 308,799,743.33
  5. Step 5: Solve for x
    x = 308,799,743.33/24,904.50
  6. Step 6: Final answer
    x = 12,399.36

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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.