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Finding the Fourth Proportional to 16,356, 22,571.76 and 8,904.48

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Solution

The fourth proportional to 16,356, 22,571.76 and 8,904.48 is: 12,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,356 : 22,571.76 = 8,904.48 : x
  2. Step 2: Convert to fraction form
    16,356/22,571.76 = 8,904.48/x
  3. Step 3: Cross multiply
    16,356x = 22,571.76 × 8,904.48
  4. Step 4: Simplify right side
    16,356x = 200,989,785.48
  5. Step 5: Solve for x
    x = 200,989,785.48/16,356
  6. Step 6: Final answer
    x = 12,288.44

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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.