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Finding the Fourth Proportional to 21,768.60, 32,645 and 9,289.94

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Solution

The fourth proportional to 21,768.60, 32,645 and 9,289.94 is: 13,931.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,768.60 : 32,645 = 9,289.94 : x
  2. Step 2: Convert to fraction form
    21,768.60/32,645 = 9,289.94/x
  3. Step 3: Cross multiply
    21,768.60x = 32,645 × 9,289.94
  4. Step 4: Simplify right side
    21,768.60x = 303,270,091.30
  5. Step 5: Solve for x
    x = 303,270,091.30/21,768.60
  6. Step 6: Final answer
    x = 13,931.54

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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.