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Finding the Fourth Proportional to 21,483.27, 29,661.38 and 16,438.48

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Solution

The fourth proportional to 21,483.27, 29,661.38 and 16,438.48 is: 22,696.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,483.27 : 29,661.38 = 16,438.48 : x
  2. Step 2: Convert to fraction form
    21,483.27/29,661.38 = 16,438.48/x
  3. Step 3: Cross multiply
    21,483.27x = 29,661.38 × 16,438.48
  4. Step 4: Simplify right side
    21,483.27x = 487,587,907.20
  5. Step 5: Solve for x
    x = 487,587,907.20/21,483.27
  6. Step 6: Final answer
    x = 22,696.17

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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.