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Finding the Fourth Proportional to 16,224.25, 22,357.97 and 10,840.58

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Solution

The fourth proportional to 16,224.25, 22,357.97 and 10,840.58 is: 14,938.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.25 : 22,357.97 = 10,840.58 : x
  2. Step 2: Convert to fraction form
    16,224.25/22,357.97 = 10,840.58/x
  3. Step 3: Cross multiply
    16,224.25x = 22,357.97 × 10,840.58
  4. Step 4: Simplify right side
    16,224.25x = 242,373,364.11
  5. Step 5: Solve for x
    x = 242,373,364.11/16,224.25
  6. Step 6: Final answer
    x = 14,938.96

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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.