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Finding the Fourth Proportional to 16,590.36, 22,896.36 and 9,519

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Solution

The fourth proportional to 16,590.36, 22,896.36 and 9,519 is: 13,137.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,590.36 : 22,896.36 = 9,519 : x
  2. Step 2: Convert to fraction form
    16,590.36/22,896.36 = 9,519/x
  3. Step 3: Cross multiply
    16,590.36x = 22,896.36 × 9,519
  4. Step 4: Simplify right side
    16,590.36x = 217,950,450.84
  5. Step 5: Solve for x
    x = 217,950,450.84/16,590.36
  6. Step 6: Final answer
    x = 13,137.17

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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.