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Finding the Fourth Proportional to 24,169.50, 33,354 and 14,104.89

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Solution

The fourth proportional to 24,169.50, 33,354 and 14,104.89 is: 19,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,169.50 : 33,354 = 14,104.89 : x
  2. Step 2: Convert to fraction form
    24,169.50/33,354 = 14,104.89/x
  3. Step 3: Cross multiply
    24,169.50x = 33,354 × 14,104.89
  4. Step 4: Simplify right side
    24,169.50x = 470,454,501.06
  5. Step 5: Solve for x
    x = 470,454,501.06/24,169.50
  6. Step 6: Final answer
    x = 19,464.80

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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.