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Finding the Fourth Proportional to 17,006.69, 25,484.04 and 7,140.57

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Solution

The fourth proportional to 17,006.69, 25,484.04 and 7,140.57 is: 10,699.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,006.69 : 25,484.04 = 7,140.57 : x
  2. Step 2: Convert to fraction form
    17,006.69/25,484.04 = 7,140.57/x
  3. Step 3: Cross multiply
    17,006.69x = 25,484.04 × 7,140.57
  4. Step 4: Simplify right side
    17,006.69x = 181,970,571.50
  5. Step 5: Solve for x
    x = 181,970,571.50/17,006.69
  6. Step 6: Final answer
    x = 10,699.94

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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.