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Finding the Fourth Proportional to 13,007.69, 17,950.66 and 7,039.36

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Solution

The fourth proportional to 13,007.69, 17,950.66 and 7,039.36 is: 9,714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.69 : 17,950.66 = 7,039.36 : x
  2. Step 2: Convert to fraction form
    13,007.69/17,950.66 = 7,039.36/x
  3. Step 3: Cross multiply
    13,007.69x = 17,950.66 × 7,039.36
  4. Step 4: Simplify right side
    13,007.69x = 126,361,085.82
  5. Step 5: Solve for x
    x = 126,361,085.82/13,007.69
  6. Step 6: Final answer
    x = 9,714.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.