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Finding the Fourth Proportional to 13,012.77, 17,957.62 and 7,044.43

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Solution

The fourth proportional to 13,012.77, 17,957.62 and 7,044.43 is: 9,721.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.77 : 17,957.62 = 7,044.43 : x
  2. Step 2: Convert to fraction form
    13,012.77/17,957.62 = 7,044.43/x
  3. Step 3: Cross multiply
    13,012.77x = 17,957.62 × 7,044.43
  4. Step 4: Simplify right side
    13,012.77x = 126,501,243.38
  5. Step 5: Solve for x
    x = 126,501,243.38/13,012.77
  6. Step 6: Final answer
    x = 9,721.32

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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.