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Finding the Fourth Proportional to 24,441, 33,728.58 and 13,263

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Solution

The fourth proportional to 24,441, 33,728.58 and 13,263 is: 18,302.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,441 : 33,728.58 = 13,263 : x
  2. Step 2: Convert to fraction form
    24,441/33,728.58 = 13,263/x
  3. Step 3: Cross multiply
    24,441x = 33,728.58 × 13,263
  4. Step 4: Simplify right side
    24,441x = 447,342,156.54
  5. Step 5: Solve for x
    x = 447,342,156.54/24,441
  6. Step 6: Final answer
    x = 18,302.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.