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Finding the Fourth Proportional to 14,687.82, 22,001.94 and 11,731.32

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Solution

The fourth proportional to 14,687.82, 22,001.94 and 11,731.32 is: 17,573.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,687.82 : 22,001.94 = 11,731.32 : x
  2. Step 2: Convert to fraction form
    14,687.82/22,001.94 = 11,731.32/x
  3. Step 3: Cross multiply
    14,687.82x = 22,001.94 × 11,731.32
  4. Step 4: Simplify right side
    14,687.82x = 258,111,798.76
  5. Step 5: Solve for x
    x = 258,111,798.76/14,687.82
  6. Step 6: Final answer
    x = 17,573.19

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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.