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Finding the Fourth Proportional to 24,468, 33,768.72 and 14,532

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Solution

The fourth proportional to 24,468, 33,768.72 and 14,532 is: 20,055.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,468 : 33,768.72 = 14,532 : x
  2. Step 2: Convert to fraction form
    24,468/33,768.72 = 14,532/x
  3. Step 3: Cross multiply
    24,468x = 33,768.72 × 14,532
  4. Step 4: Simplify right side
    24,468x = 490,727,039.04
  5. Step 5: Solve for x
    x = 490,727,039.04/24,468
  6. Step 6: Final answer
    x = 20,055.87

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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.