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Finding the Fourth Proportional to 17,006.64, 25,507.73 and 6,473.81

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Solution

The fourth proportional to 17,006.64, 25,507.73 and 6,473.81 is: 9,709.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,006.64 : 25,507.73 = 6,473.81 : x
  2. Step 2: Convert to fraction form
    17,006.64/25,507.73 = 6,473.81/x
  3. Step 3: Cross multiply
    17,006.64x = 25,507.73 × 6,473.81
  4. Step 4: Simplify right side
    17,006.64x = 165,132,037.64
  5. Step 5: Solve for x
    x = 165,132,037.64/17,006.64
  6. Step 6: Final answer
    x = 9,709.86

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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.