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Finding the Fourth Proportional to 24,673.44, 37,008.72 and 6,204

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Solution

The fourth proportional to 24,673.44, 37,008.72 and 6,204 is: 9,305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,673.44 : 37,008.72 = 6,204 : x
  2. Step 2: Convert to fraction form
    24,673.44/37,008.72 = 6,204/x
  3. Step 3: Cross multiply
    24,673.44x = 37,008.72 × 6,204
  4. Step 4: Simplify right side
    24,673.44x = 229,602,098.88
  5. Step 5: Solve for x
    x = 229,602,098.88/24,673.44
  6. Step 6: Final answer
    x = 9,305.64

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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.