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Finding the Fourth Proportional to 17,206.71, 25,804.59 and 6,675.96

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Solution

The fourth proportional to 17,206.71, 25,804.59 and 6,675.96 is: 10,011.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.71 : 25,804.59 = 6,675.96 : x
  2. Step 2: Convert to fraction form
    17,206.71/25,804.59 = 6,675.96/x
  3. Step 3: Cross multiply
    17,206.71x = 25,804.59 × 6,675.96
  4. Step 4: Simplify right side
    17,206.71x = 172,270,410.66
  5. Step 5: Solve for x
    x = 172,270,410.66/17,206.71
  6. Step 6: Final answer
    x = 10,011.82

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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.