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Finding the Fourth Proportional to 21,461.46, 29,616.26 and 11,901.38

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Solution

The fourth proportional to 21,461.46, 29,616.26 and 11,901.38 is: 16,423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461.46 : 29,616.26 = 11,901.38 : x
  2. Step 2: Convert to fraction form
    21,461.46/29,616.26 = 11,901.38/x
  3. Step 3: Cross multiply
    21,461.46x = 29,616.26 × 11,901.38
  4. Step 4: Simplify right side
    21,461.46x = 352,474,364.44
  5. Step 5: Solve for x
    x = 352,474,364.44/21,461.46
  6. Step 6: Final answer
    x = 16,423.60

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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.