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Finding the Fourth Proportional to 24,561.84, 33,894.06 and 13,950

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Solution

The fourth proportional to 24,561.84, 33,894.06 and 13,950 is: 19,250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,561.84 : 33,894.06 = 13,950 : x
  2. Step 2: Convert to fraction form
    24,561.84/33,894.06 = 13,950/x
  3. Step 3: Cross multiply
    24,561.84x = 33,894.06 × 13,950
  4. Step 4: Simplify right side
    24,561.84x = 472,822,137.00
  5. Step 5: Solve for x
    x = 472,822,137.00/24,561.84
  6. Step 6: Final answer
    x = 19,250.27

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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.