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Finding the Fourth Proportional to 21,846.60, 32,687.28 and 13,383

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Solution

The fourth proportional to 21,846.60, 32,687.28 and 13,383 is: 20,023.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,846.60 : 32,687.28 = 13,383 : x
  2. Step 2: Convert to fraction form
    21,846.60/32,687.28 = 13,383/x
  3. Step 3: Cross multiply
    21,846.60x = 32,687.28 × 13,383
  4. Step 4: Simplify right side
    21,846.60x = 437,453,868.24
  5. Step 5: Solve for x
    x = 437,453,868.24/21,846.60
  6. Step 6: Final answer
    x = 20,023.89

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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.