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Finding the Fourth Proportional to 12,919.72, 17,831.17 and 7,886.87

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Solution

The fourth proportional to 12,919.72, 17,831.17 and 7,886.87 is: 10,885.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,919.72 : 17,831.17 = 7,886.87 : x
  2. Step 2: Convert to fraction form
    12,919.72/17,831.17 = 7,886.87/x
  3. Step 3: Cross multiply
    12,919.72x = 17,831.17 × 7,886.87
  4. Step 4: Simplify right side
    12,919.72x = 140,632,144.60
  5. Step 5: Solve for x
    x = 140,632,144.60/12,919.72
  6. Step 6: Final answer
    x = 10,885.07

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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.