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Finding the Fourth Proportional to 21,463.44, 29,617.56 and 12,030

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Solution

The fourth proportional to 21,463.44, 29,617.56 and 12,030 is: 16,600.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,463.44 : 29,617.56 = 12,030 : x
  2. Step 2: Convert to fraction form
    21,463.44/29,617.56 = 12,030/x
  3. Step 3: Cross multiply
    21,463.44x = 29,617.56 × 12,030
  4. Step 4: Simplify right side
    21,463.44x = 356,299,246.80
  5. Step 5: Solve for x
    x = 356,299,246.80/21,463.44
  6. Step 6: Final answer
    x = 16,600.29

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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.