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Finding the Fourth Proportional to 17,939.84, 24,757.16 and 9,874.40

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Solution

The fourth proportional to 17,939.84, 24,757.16 and 9,874.40 is: 13,626.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,939.84 : 24,757.16 = 9,874.40 : x
  2. Step 2: Convert to fraction form
    17,939.84/24,757.16 = 9,874.40/x
  3. Step 3: Cross multiply
    17,939.84x = 24,757.16 × 9,874.40
  4. Step 4: Simplify right side
    17,939.84x = 244,461,927.55
  5. Step 5: Solve for x
    x = 244,461,927.55/17,939.84
  6. Step 6: Final answer
    x = 13,626.77

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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.