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Finding the Fourth Proportional to 14,580.97, 21,866.09 and 11,467.06

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Solution

The fourth proportional to 14,580.97, 21,866.09 and 11,467.06 is: 17,196.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,580.97 : 21,866.09 = 11,467.06 : x
  2. Step 2: Convert to fraction form
    14,580.97/21,866.09 = 11,467.06/x
  3. Step 3: Cross multiply
    14,580.97x = 21,866.09 × 11,467.06
  4. Step 4: Simplify right side
    14,580.97x = 250,739,653.99
  5. Step 5: Solve for x
    x = 250,739,653.99/14,580.97
  6. Step 6: Final answer
    x = 17,196.37

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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.