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Finding the Fourth Proportional to 16,283.58, 22,471.38 and 8,831.58

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Solution

The fourth proportional to 16,283.58, 22,471.38 and 8,831.58 is: 12,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.58 : 22,471.38 = 8,831.58 : x
  2. Step 2: Convert to fraction form
    16,283.58/22,471.38 = 8,831.58/x
  3. Step 3: Cross multiply
    16,283.58x = 22,471.38 × 8,831.58
  4. Step 4: Simplify right side
    16,283.58x = 198,457,790.18
  5. Step 5: Solve for x
    x = 198,457,790.18/16,283.58
  6. Step 6: Final answer
    x = 12,187.60

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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.