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Finding the Fourth Proportional to 24,584.50, 33,927.02 and 13,406.50

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Solution

The fourth proportional to 24,584.50, 33,927.02 and 13,406.50 is: 18,501.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,584.50 : 33,927.02 = 13,406.50 : x
  2. Step 2: Convert to fraction form
    24,584.50/33,927.02 = 13,406.50/x
  3. Step 3: Cross multiply
    24,584.50x = 33,927.02 × 13,406.50
  4. Step 4: Simplify right side
    24,584.50x = 454,842,593.63
  5. Step 5: Solve for x
    x = 454,842,593.63/24,584.50
  6. Step 6: Final answer
    x = 18,501.19

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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.