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Finding the Fourth Proportional to 21,461.85, 29,616.89 and 12,030.21

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Solution

The fourth proportional to 21,461.85, 29,616.89 and 12,030.21 is: 16,601.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461.85 : 29,616.89 = 12,030.21 : x
  2. Step 2: Convert to fraction form
    21,461.85/29,616.89 = 12,030.21/x
  3. Step 3: Cross multiply
    21,461.85x = 29,616.89 × 12,030.21
  4. Step 4: Simplify right side
    21,461.85x = 356,297,406.25
  5. Step 5: Solve for x
    x = 356,297,406.25/21,461.85
  6. Step 6: Final answer
    x = 16,601.43

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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.