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Finding the Fourth Proportional to 14,831.40, 20,463.12 and 8,542.56

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Solution

The fourth proportional to 14,831.40, 20,463.12 and 8,542.56 is: 11,786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,831.40 : 20,463.12 = 8,542.56 : x
  2. Step 2: Convert to fraction form
    14,831.40/20,463.12 = 8,542.56/x
  3. Step 3: Cross multiply
    14,831.40x = 20,463.12 × 8,542.56
  4. Step 4: Simplify right side
    14,831.40x = 174,807,430.39
  5. Step 5: Solve for x
    x = 174,807,430.39/14,831.40
  6. Step 6: Final answer
    x = 11,786.31

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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.