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Finding the Fourth Proportional to 12,845.36, 17,726.92 and 7,256.36

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Solution

The fourth proportional to 12,845.36, 17,726.92 and 7,256.36 is: 10,013.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,845.36 : 17,726.92 = 7,256.36 : x
  2. Step 2: Convert to fraction form
    12,845.36/17,726.92 = 7,256.36/x
  3. Step 3: Cross multiply
    12,845.36x = 17,726.92 × 7,256.36
  4. Step 4: Simplify right side
    12,845.36x = 128,632,913.21
  5. Step 5: Solve for x
    x = 128,632,913.21/12,845.36
  6. Step 6: Final answer
    x = 10,013.96

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