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Finding the Fourth Proportional to 22,333.74, 30,821.10 and 12,642.42

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Solution

The fourth proportional to 22,333.74, 30,821.10 and 12,642.42 is: 17,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,333.74 : 30,821.10 = 12,642.42 : x
  2. Step 2: Convert to fraction form
    22,333.74/30,821.10 = 12,642.42/x
  3. Step 3: Cross multiply
    22,333.74x = 30,821.10 × 12,642.42
  4. Step 4: Simplify right side
    22,333.74x = 389,653,291.06
  5. Step 5: Solve for x
    x = 389,653,291.06/22,333.74
  6. Step 6: Final answer
    x = 17,446.84

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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.