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Finding the Fourth Proportional to 24,783.22, 37,182.11 and 9,984.52

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Solution

The fourth proportional to 24,783.22, 37,182.11 and 9,984.52 is: 14,979.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,783.22 : 37,182.11 = 9,984.52 : x
  2. Step 2: Convert to fraction form
    24,783.22/37,182.11 = 9,984.52/x
  3. Step 3: Cross multiply
    24,783.22x = 37,182.11 × 9,984.52
  4. Step 4: Simplify right side
    24,783.22x = 371,245,520.94
  5. Step 5: Solve for x
    x = 371,245,520.94/24,783.22
  6. Step 6: Final answer
    x = 14,979.71

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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.