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Finding the Fourth Proportional to 17,735.76, 24,475.57 and 11,756.75

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Solution

The fourth proportional to 17,735.76, 24,475.57 and 11,756.75 is: 16,224.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.76 : 24,475.57 = 11,756.75 : x
  2. Step 2: Convert to fraction form
    17,735.76/24,475.57 = 11,756.75/x
  3. Step 3: Cross multiply
    17,735.76x = 24,475.57 × 11,756.75
  4. Step 4: Simplify right side
    17,735.76x = 287,753,005.83
  5. Step 5: Solve for x
    x = 287,753,005.83/17,735.76
  6. Step 6: Final answer
    x = 16,224.45

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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.