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Finding the Fourth Proportional to 12,763.46, 17,607.42 and 8,227.86

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Solution

The fourth proportional to 12,763.46, 17,607.42 and 8,227.86 is: 11,350.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763.46 : 17,607.42 = 8,227.86 : x
  2. Step 2: Convert to fraction form
    12,763.46/17,607.42 = 8,227.86/x
  3. Step 3: Cross multiply
    12,763.46x = 17,607.42 × 8,227.86
  4. Step 4: Simplify right side
    12,763.46x = 144,871,386.72
  5. Step 5: Solve for x
    x = 144,871,386.72/12,763.46
  6. Step 6: Final answer
    x = 11,350.48

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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.