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Finding the Fourth Proportional to 17,747.20, 26,569.60 and 10,835.20

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Solution

The fourth proportional to 17,747.20, 26,569.60 and 10,835.20 is: 16,221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,747.20 : 26,569.60 = 10,835.20 : x
  2. Step 2: Convert to fraction form
    17,747.20/26,569.60 = 10,835.20/x
  3. Step 3: Cross multiply
    17,747.20x = 26,569.60 × 10,835.20
  4. Step 4: Simplify right side
    17,747.20x = 287,886,929.92
  5. Step 5: Solve for x
    x = 287,886,929.92/17,747.20
  6. Step 6: Final answer
    x = 16,221.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.