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Finding the Fourth Proportional to 16,283.53, 22,471.27 and 8,831.53

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Solution

The fourth proportional to 16,283.53, 22,471.27 and 8,831.53 is: 12,187.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.53 : 22,471.27 = 8,831.53 : x
  2. Step 2: Convert to fraction form
    16,283.53/22,471.27 = 8,831.53/x
  3. Step 3: Cross multiply
    16,283.53x = 22,471.27 × 8,831.53
  4. Step 4: Simplify right side
    16,283.53x = 198,455,750.83
  5. Step 5: Solve for x
    x = 198,455,750.83/16,283.53
  6. Step 6: Final answer
    x = 12,187.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.