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Finding the Fourth Proportional to 24,448, 33,738.28 and 13,270

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Solution

The fourth proportional to 24,448, 33,738.28 and 13,270 is: 18,312.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,448 : 33,738.28 = 13,270 : x
  2. Step 2: Convert to fraction form
    24,448/33,738.28 = 13,270/x
  3. Step 3: Cross multiply
    24,448x = 33,738.28 × 13,270
  4. Step 4: Simplify right side
    24,448x = 447,706,975.60
  5. Step 5: Solve for x
    x = 447,706,975.60/24,448
  6. Step 6: Final answer
    x = 18,312.62

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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.