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Finding the Fourth Proportional to 14,370.64, 19,831.28 and 8,083

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Solution

The fourth proportional to 14,370.64, 19,831.28 and 8,083 is: 11,154.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,370.64 : 19,831.28 = 8,083 : x
  2. Step 2: Convert to fraction form
    14,370.64/19,831.28 = 8,083/x
  3. Step 3: Cross multiply
    14,370.64x = 19,831.28 × 8,083
  4. Step 4: Simplify right side
    14,370.64x = 160,296,236.24
  5. Step 5: Solve for x
    x = 160,296,236.24/14,370.64
  6. Step 6: Final answer
    x = 11,154.43

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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.