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Finding the Fourth Proportional to 12,871.47, 17,757.34 and 7,831.65

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Solution

The fourth proportional to 12,871.47, 17,757.34 and 7,831.65 is: 10,804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.47 : 17,757.34 = 7,831.65 : x
  2. Step 2: Convert to fraction form
    12,871.47/17,757.34 = 7,831.65/x
  3. Step 3: Cross multiply
    12,871.47x = 17,757.34 × 7,831.65
  4. Step 4: Simplify right side
    12,871.47x = 139,069,183.02
  5. Step 5: Solve for x
    x = 139,069,183.02/12,871.47
  6. Step 6: Final answer
    x = 10,804.46

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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.