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Finding the Fourth Proportional to 12,723.10, 17,555.96 and 7,271.78

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Solution

The fourth proportional to 12,723.10, 17,555.96 and 7,271.78 is: 10,033.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,723.10 : 17,555.96 = 7,271.78 : x
  2. Step 2: Convert to fraction form
    12,723.10/17,555.96 = 7,271.78/x
  3. Step 3: Cross multiply
    12,723.10x = 17,555.96 × 7,271.78
  4. Step 4: Simplify right side
    12,723.10x = 127,663,009.21
  5. Step 5: Solve for x
    x = 127,663,009.21/12,723.10
  6. Step 6: Final answer
    x = 10,033.96

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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.