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Finding the Fourth Proportional to 16,599.25, 22,905.34 and 9,883.54

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Solution

The fourth proportional to 16,599.25, 22,905.34 and 9,883.54 is: 13,638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,599.25 : 22,905.34 = 9,883.54 : x
  2. Step 2: Convert to fraction form
    16,599.25/22,905.34 = 9,883.54/x
  3. Step 3: Cross multiply
    16,599.25x = 22,905.34 × 9,883.54
  4. Step 4: Simplify right side
    16,599.25x = 226,385,844.10
  5. Step 5: Solve for x
    x = 226,385,844.10/16,599.25
  6. Step 6: Final answer
    x = 13,638.32

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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.