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Finding the Fourth Proportional to 24,537.08, 33,873.78 and 14,468.80

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Solution

The fourth proportional to 24,537.08, 33,873.78 and 14,468.80 is: 19,974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,537.08 : 33,873.78 = 14,468.80 : x
  2. Step 2: Convert to fraction form
    24,537.08/33,873.78 = 14,468.80/x
  3. Step 3: Cross multiply
    24,537.08x = 33,873.78 × 14,468.80
  4. Step 4: Simplify right side
    24,537.08x = 490,112,948.06
  5. Step 5: Solve for x
    x = 490,112,948.06/24,537.08
  6. Step 6: Final answer
    x = 19,974.38

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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.