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Finding the Fourth Proportional to 17,941.23, 24,802.20 and 16,446.78

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Solution

The fourth proportional to 17,941.23, 24,802.20 and 16,446.78 is: 22,736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,941.23 : 24,802.20 = 16,446.78 : x
  2. Step 2: Convert to fraction form
    17,941.23/24,802.20 = 16,446.78/x
  3. Step 3: Cross multiply
    17,941.23x = 24,802.20 × 16,446.78
  4. Step 4: Simplify right side
    17,941.23x = 407,916,326.92
  5. Step 5: Solve for x
    x = 407,916,326.92/17,941.23
  6. Step 6: Final answer
    x = 22,736.25

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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.