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Finding the Fourth Proportional to 24,144.17, 33,245.66 and 21,416.18

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Solution

The fourth proportional to 24,144.17, 33,245.66 and 21,416.18 is: 29,489.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,144.17 : 33,245.66 = 21,416.18 : x
  2. Step 2: Convert to fraction form
    24,144.17/33,245.66 = 21,416.18/x
  3. Step 3: Cross multiply
    24,144.17x = 33,245.66 × 21,416.18
  4. Step 4: Simplify right side
    24,144.17x = 711,994,926.09
  5. Step 5: Solve for x
    x = 711,994,926.09/24,144.17
  6. Step 6: Final answer
    x = 29,489.32

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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.