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Finding the Fourth Proportional to 21,478.25, 32,216.09 and 12,768.59

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Solution

The fourth proportional to 21,478.25, 32,216.09 and 12,768.59 is: 19,152.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478.25 : 32,216.09 = 12,768.59 : x
  2. Step 2: Convert to fraction form
    21,478.25/32,216.09 = 12,768.59/x
  3. Step 3: Cross multiply
    21,478.25x = 32,216.09 × 12,768.59
  4. Step 4: Simplify right side
    21,478.25x = 411,353,819.69
  5. Step 5: Solve for x
    x = 411,353,819.69/21,478.25
  6. Step 6: Final answer
    x = 19,152.12

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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.