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Finding the Fourth Proportional to 24,514.58, 33,832.62 and 14,446.16

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Solution

The fourth proportional to 24,514.58, 33,832.62 and 14,446.16 is: 19,937.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,514.58 : 33,832.62 = 14,446.16 : x
  2. Step 2: Convert to fraction form
    24,514.58/33,832.62 = 14,446.16/x
  3. Step 3: Cross multiply
    24,514.58x = 33,832.62 × 14,446.16
  4. Step 4: Simplify right side
    24,514.58x = 488,751,441.74
  5. Step 5: Solve for x
    x = 488,751,441.74/24,514.58
  6. Step 6: Final answer
    x = 19,937.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.