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Finding the Fourth Proportional to 17,788.37, 24,545.87 and 9,830.12

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Solution

The fourth proportional to 17,788.37, 24,545.87 and 9,830.12 is: 13,564.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,788.37 : 24,545.87 = 9,830.12 : x
  2. Step 2: Convert to fraction form
    17,788.37/24,545.87 = 9,830.12/x
  3. Step 3: Cross multiply
    17,788.37x = 24,545.87 × 9,830.12
  4. Step 4: Simplify right side
    17,788.37x = 241,288,847.60
  5. Step 5: Solve for x
    x = 241,288,847.60/17,788.37
  6. Step 6: Final answer
    x = 13,564.42

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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.