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Finding the Fourth Proportional to 17,664.84, 24,370.50 and 10,107.12

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Solution

The fourth proportional to 17,664.84, 24,370.50 and 10,107.12 is: 13,943.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,664.84 : 24,370.50 = 10,107.12 : x
  2. Step 2: Convert to fraction form
    17,664.84/24,370.50 = 10,107.12/x
  3. Step 3: Cross multiply
    17,664.84x = 24,370.50 × 10,107.12
  4. Step 4: Simplify right side
    17,664.84x = 246,315,567.96
  5. Step 5: Solve for x
    x = 246,315,567.96/17,664.84
  6. Step 6: Final answer
    x = 13,943.83

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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.