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Finding the Fourth Proportional to 17,042.32, 25,548.42 and 6,646.78

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Solution

The fourth proportional to 17,042.32, 25,548.42 and 6,646.78 is: 9,964.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,042.32 : 25,548.42 = 6,646.78 : x
  2. Step 2: Convert to fraction form
    17,042.32/25,548.42 = 6,646.78/x
  3. Step 3: Cross multiply
    17,042.32x = 25,548.42 × 6,646.78
  4. Step 4: Simplify right side
    17,042.32x = 169,814,727.09
  5. Step 5: Solve for x
    x = 169,814,727.09/17,042.32
  6. Step 6: Final answer
    x = 9,964.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.