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Finding the Fourth Proportional to 23,378.56, 32,262.36 and 12,768.16

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Solution

The fourth proportional to 23,378.56, 32,262.36 and 12,768.16 is: 17,620.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,378.56 : 32,262.36 = 12,768.16 : x
  2. Step 2: Convert to fraction form
    23,378.56/32,262.36 = 12,768.16/x
  3. Step 3: Cross multiply
    23,378.56x = 32,262.36 × 12,768.16
  4. Step 4: Simplify right side
    23,378.56x = 411,930,974.46
  5. Step 5: Solve for x
    x = 411,930,974.46/23,378.56
  6. Step 6: Final answer
    x = 17,620.03

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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.