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Finding the Fourth Proportional to 17,042.69, 25,574.70 and 6,513.61

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Solution

The fourth proportional to 17,042.69, 25,574.70 and 6,513.61 is: 9,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,042.69 : 25,574.70 = 6,513.61 : x
  2. Step 2: Convert to fraction form
    17,042.69/25,574.70 = 6,513.61/x
  3. Step 3: Cross multiply
    17,042.69x = 25,574.70 × 6,513.61
  4. Step 4: Simplify right side
    17,042.69x = 166,583,621.67
  5. Step 5: Solve for x
    x = 166,583,621.67/17,042.69
  6. Step 6: Final answer
    x = 9,774.49

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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.