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Finding the Fourth Proportional to 17,057.94, 25,567.47 and 7,804.50

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Solution

The fourth proportional to 17,057.94, 25,567.47 and 7,804.50 is: 11,697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,057.94 : 25,567.47 = 7,804.50 : x
  2. Step 2: Convert to fraction form
    17,057.94/25,567.47 = 7,804.50/x
  3. Step 3: Cross multiply
    17,057.94x = 25,567.47 × 7,804.50
  4. Step 4: Simplify right side
    17,057.94x = 199,541,319.62
  5. Step 5: Solve for x
    x = 199,541,319.62/17,057.94
  6. Step 6: Final answer
    x = 11,697.86

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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.