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Finding the Fourth Proportional to 16,643.40, 23,073.06 and 15,755.64

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Solution

The fourth proportional to 16,643.40, 23,073.06 and 15,755.64 is: 21,842.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,643.40 : 23,073.06 = 15,755.64 : x
  2. Step 2: Convert to fraction form
    16,643.40/23,073.06 = 15,755.64/x
  3. Step 3: Cross multiply
    16,643.40x = 23,073.06 × 15,755.64
  4. Step 4: Simplify right side
    16,643.40x = 363,530,827.06
  5. Step 5: Solve for x
    x = 363,530,827.06/16,643.40
  6. Step 6: Final answer
    x = 21,842.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.