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Finding the Fourth Proportional to 23,378.36, 32,260.72 and 12,765.84

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Solution

The fourth proportional to 23,378.36, 32,260.72 and 12,765.84 is: 17,616.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,378.36 : 32,260.72 = 12,765.84 : x
  2. Step 2: Convert to fraction form
    23,378.36/32,260.72 = 12,765.84/x
  3. Step 3: Cross multiply
    23,378.36x = 32,260.72 × 12,765.84
  4. Step 4: Simplify right side
    23,378.36x = 411,835,189.80
  5. Step 5: Solve for x
    x = 411,835,189.80/23,378.36
  6. Step 6: Final answer
    x = 17,616.09

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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.