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Finding the Fourth Proportional to 21,466.44, 29,621.70 and 12,033

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Solution

The fourth proportional to 21,466.44, 29,621.70 and 12,033 is: 16,604.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,466.44 : 29,621.70 = 12,033 : x
  2. Step 2: Convert to fraction form
    21,466.44/29,621.70 = 12,033/x
  3. Step 3: Cross multiply
    21,466.44x = 29,621.70 × 12,033
  4. Step 4: Simplify right side
    21,466.44x = 356,437,916.10
  5. Step 5: Solve for x
    x = 356,437,916.10/21,466.44
  6. Step 6: Final answer
    x = 16,604.43

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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.