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Finding the Fourth Proportional to 24,477, 33,778.26 and 14,541

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Solution

The fourth proportional to 24,477, 33,778.26 and 14,541 is: 20,066.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,477 : 33,778.26 = 14,541 : x
  2. Step 2: Convert to fraction form
    24,477/33,778.26 = 14,541/x
  3. Step 3: Cross multiply
    24,477x = 33,778.26 × 14,541
  4. Step 4: Simplify right side
    24,477x = 491,169,678.66
  5. Step 5: Solve for x
    x = 491,169,678.66/24,477
  6. Step 6: Final answer
    x = 20,066.58

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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.