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Finding the Fourth Proportional to 17,801.42, 24,571.10 and 11,756.08

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Solution

The fourth proportional to 17,801.42, 24,571.10 and 11,756.08 is: 16,226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,801.42 : 24,571.10 = 11,756.08 : x
  2. Step 2: Convert to fraction form
    17,801.42/24,571.10 = 11,756.08/x
  3. Step 3: Cross multiply
    17,801.42x = 24,571.10 × 11,756.08
  4. Step 4: Simplify right side
    17,801.42x = 288,859,817.29
  5. Step 5: Solve for x
    x = 288,859,817.29/17,801.42
  6. Step 6: Final answer
    x = 16,226.79

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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.