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Finding the Fourth Proportional to 12,537.27, 17,300.79 and 7,231.77

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Solution

The fourth proportional to 12,537.27, 17,300.79 and 7,231.77 is: 9,979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.27 : 17,300.79 = 7,231.77 : x
  2. Step 2: Convert to fraction form
    12,537.27/17,300.79 = 7,231.77/x
  3. Step 3: Cross multiply
    12,537.27x = 17,300.79 × 7,231.77
  4. Step 4: Simplify right side
    12,537.27x = 125,115,334.10
  5. Step 5: Solve for x
    x = 125,115,334.10/12,537.27
  6. Step 6: Final answer
    x = 9,979.47

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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.