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Finding the Fourth Proportional to 24,936.72, 37,394.16 and 7,407.60

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Solution

The fourth proportional to 24,936.72, 37,394.16 and 7,407.60 is: 11,108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,936.72 : 37,394.16 = 7,407.60 : x
  2. Step 2: Convert to fraction form
    24,936.72/37,394.16 = 7,407.60/x
  3. Step 3: Cross multiply
    24,936.72x = 37,394.16 × 7,407.60
  4. Step 4: Simplify right side
    24,936.72x = 277,000,979.62
  5. Step 5: Solve for x
    x = 277,000,979.62/24,936.72
  6. Step 6: Final answer
    x = 11,108.16

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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.