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Finding the Fourth Proportional to 17,051.63, 25,574.67 and 12,106.31

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Solution

The fourth proportional to 17,051.63, 25,574.67 and 12,106.31 is: 18,157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,051.63 : 25,574.67 = 12,106.31 : x
  2. Step 2: Convert to fraction form
    17,051.63/25,574.67 = 12,106.31/x
  3. Step 3: Cross multiply
    17,051.63x = 25,574.67 × 12,106.31
  4. Step 4: Simplify right side
    17,051.63x = 309,614,755.29
  5. Step 5: Solve for x
    x = 309,614,755.29/17,051.63
  6. Step 6: Final answer
    x = 18,157.49

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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.