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Finding the Fourth Proportional to 21,461.30, 29,616.06 and 11,901.22

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Solution

The fourth proportional to 21,461.30, 29,616.06 and 11,901.22 is: 16,423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461.30 : 29,616.06 = 11,901.22 : x
  2. Step 2: Convert to fraction form
    21,461.30/29,616.06 = 11,901.22/x
  3. Step 3: Cross multiply
    21,461.30x = 29,616.06 × 11,901.22
  4. Step 4: Simplify right side
    21,461.30x = 352,467,245.59
  5. Step 5: Solve for x
    x = 352,467,245.59/21,461.30
  6. Step 6: Final answer
    x = 16,423.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.