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Finding the Fourth Proportional to 17,829.99, 24,605.78 and 9,872.55

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Solution

The fourth proportional to 17,829.99, 24,605.78 and 9,872.55 is: 13,624.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829.99 : 24,605.78 = 9,872.55 : x
  2. Step 2: Convert to fraction form
    17,829.99/24,605.78 = 9,872.55/x
  3. Step 3: Cross multiply
    17,829.99x = 24,605.78 × 9,872.55
  4. Step 4: Simplify right side
    17,829.99x = 242,921,743.98
  5. Step 5: Solve for x
    x = 242,921,743.98/17,829.99
  6. Step 6: Final answer
    x = 13,624.33

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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.