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Finding the Fourth Proportional to 17,035, 25,530.87 and 7,664.98

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Solution

The fourth proportional to 17,035, 25,530.87 and 7,664.98 is: 11,487.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,035 : 25,530.87 = 7,664.98 : x
  2. Step 2: Convert to fraction form
    17,035/25,530.87 = 7,664.98/x
  3. Step 3: Cross multiply
    17,035x = 25,530.87 × 7,664.98
  4. Step 4: Simplify right side
    17,035x = 195,693,607.93
  5. Step 5: Solve for x
    x = 195,693,607.93/17,035
  6. Step 6: Final answer
    x = 11,487.74

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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.