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Finding the Fourth Proportional to 17,821.14, 24,595 and 10,267.76

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Solution

The fourth proportional to 17,821.14, 24,595 and 10,267.76 is: 14,170.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821.14 : 24,595 = 10,267.76 : x
  2. Step 2: Convert to fraction form
    17,821.14/24,595 = 10,267.76/x
  3. Step 3: Cross multiply
    17,821.14x = 24,595 × 10,267.76
  4. Step 4: Simplify right side
    17,821.14x = 252,535,557.20
  5. Step 5: Solve for x
    x = 252,535,557.20/17,821.14
  6. Step 6: Final answer
    x = 14,170.56

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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.