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Finding the Fourth Proportional to 16,544.49, 22,831.54 and 8,990.82

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Solution

The fourth proportional to 16,544.49, 22,831.54 and 8,990.82 is: 12,407.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,544.49 : 22,831.54 = 8,990.82 : x
  2. Step 2: Convert to fraction form
    16,544.49/22,831.54 = 8,990.82/x
  3. Step 3: Cross multiply
    16,544.49x = 22,831.54 × 8,990.82
  4. Step 4: Simplify right side
    16,544.49x = 205,274,266.46
  5. Step 5: Solve for x
    x = 205,274,266.46/16,544.49
  6. Step 6: Final answer
    x = 12,407.41

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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.