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Finding the Fourth Proportional to 21,365.82, 29,495.43 and 16,288.38

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Solution

The fourth proportional to 21,365.82, 29,495.43 and 16,288.38 is: 22,486.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,365.82 : 29,495.43 = 16,288.38 : x
  2. Step 2: Convert to fraction form
    21,365.82/29,495.43 = 16,288.38/x
  3. Step 3: Cross multiply
    21,365.82x = 29,495.43 × 16,288.38
  4. Step 4: Simplify right side
    21,365.82x = 480,432,772.10
  5. Step 5: Solve for x
    x = 480,432,772.10/21,365.82
  6. Step 6: Final answer
    x = 22,486.04

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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.