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Finding the Fourth Proportional to 24,480.50, 33,786 and 14,544.50

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Solution

The fourth proportional to 24,480.50, 33,786 and 14,544.50 is: 20,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,480.50 : 33,786 = 14,544.50 : x
  2. Step 2: Convert to fraction form
    24,480.50/33,786 = 14,544.50/x
  3. Step 3: Cross multiply
    24,480.50x = 33,786 × 14,544.50
  4. Step 4: Simplify right side
    24,480.50x = 491,400,477
  5. Step 5: Solve for x
    x = 491,400,477/24,480.50
  6. Step 6: Final answer
    x = 20,073.14

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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.