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Finding the Fourth Proportional to 14,463.78, 21,676.23 and 5,696.34

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Solution

The fourth proportional to 14,463.78, 21,676.23 and 5,696.34 is: 8,536.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463.78 : 21,676.23 = 5,696.34 : x
  2. Step 2: Convert to fraction form
    14,463.78/21,676.23 = 5,696.34/x
  3. Step 3: Cross multiply
    14,463.78x = 21,676.23 × 5,696.34
  4. Step 4: Simplify right side
    14,463.78x = 123,475,176.00
  5. Step 5: Solve for x
    x = 123,475,176.00/14,463.78
  6. Step 6: Final answer
    x = 8,536.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.