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Finding the Fourth Proportional to 17,756.27, 24,500.64 and 10,202.92

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Solution

The fourth proportional to 17,756.27, 24,500.64 and 10,202.92 is: 14,078.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,756.27 : 24,500.64 = 10,202.92 : x
  2. Step 2: Convert to fraction form
    17,756.27/24,500.64 = 10,202.92/x
  3. Step 3: Cross multiply
    17,756.27x = 24,500.64 × 10,202.92
  4. Step 4: Simplify right side
    17,756.27x = 249,978,069.87
  5. Step 5: Solve for x
    x = 249,978,069.87/17,756.27
  6. Step 6: Final answer
    x = 14,078.30

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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.