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Finding the Fourth Proportional to 24,480, 33,785.28 and 14,544

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Solution

The fourth proportional to 24,480, 33,785.28 and 14,544 is: 20,072.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,480 : 33,785.28 = 14,544 : x
  2. Step 2: Convert to fraction form
    24,480/33,785.28 = 14,544/x
  3. Step 3: Cross multiply
    24,480x = 33,785.28 × 14,544
  4. Step 4: Simplify right side
    24,480x = 491,373,112.32
  5. Step 5: Solve for x
    x = 491,373,112.32/24,480
  6. Step 6: Final answer
    x = 20,072.43

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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.