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Finding the Fourth Proportional to 24,653.36, 36,975.70 and 8,011

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Solution

The fourth proportional to 24,653.36, 36,975.70 and 8,011 is: 12,015.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,653.36 : 36,975.70 = 8,011 : x
  2. Step 2: Convert to fraction form
    24,653.36/36,975.70 = 8,011/x
  3. Step 3: Cross multiply
    24,653.36x = 36,975.70 × 8,011
  4. Step 4: Simplify right side
    24,653.36x = 296,212,332.70
  5. Step 5: Solve for x
    x = 296,212,332.70/24,653.36
  6. Step 6: Final answer
    x = 12,015.09

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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.