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Finding the Fourth Proportional to 16,338, 22,546.44 and 9,264.45

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Solution

The fourth proportional to 16,338, 22,546.44 and 9,264.45 is: 12,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,338 : 22,546.44 = 9,264.45 : x
  2. Step 2: Convert to fraction form
    16,338/22,546.44 = 9,264.45/x
  3. Step 3: Cross multiply
    16,338x = 22,546.44 × 9,264.45
  4. Step 4: Simplify right side
    16,338x = 208,880,366.06
  5. Step 5: Solve for x
    x = 208,880,366.06/16,338
  6. Step 6: Final answer
    x = 12,784.94

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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.