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Finding the Fourth Proportional to 15,705.39, 21,651.30 and 10,669.83

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Solution

The fourth proportional to 15,705.39, 21,651.30 and 10,669.83 is: 14,709.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.39 : 21,651.30 = 10,669.83 : x
  2. Step 2: Convert to fraction form
    15,705.39/21,651.30 = 10,669.83/x
  3. Step 3: Cross multiply
    15,705.39x = 21,651.30 × 10,669.83
  4. Step 4: Simplify right side
    15,705.39x = 231,015,609.09
  5. Step 5: Solve for x
    x = 231,015,609.09/15,705.39
  6. Step 6: Final answer
    x = 14,709.32

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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.