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Finding the Fourth Proportional to 24,984.20, 37,476.75 and 7,216.19

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Solution

The fourth proportional to 24,984.20, 37,476.75 and 7,216.19 is: 10,824.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,984.20 : 37,476.75 = 7,216.19 : x
  2. Step 2: Convert to fraction form
    24,984.20/37,476.75 = 7,216.19/x
  3. Step 3: Cross multiply
    24,984.20x = 37,476.75 × 7,216.19
  4. Step 4: Simplify right side
    24,984.20x = 270,439,308.50
  5. Step 5: Solve for x
    x = 270,439,308.50/24,984.20
  6. Step 6: Final answer
    x = 10,824.41

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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.