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Finding the Fourth Proportional to 14,798, 22,212.20 and 11,546.64

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Solution

The fourth proportional to 14,798, 22,212.20 and 11,546.64 is: 17,331.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,798 : 22,212.20 = 11,546.64 : x
  2. Step 2: Convert to fraction form
    14,798/22,212.20 = 11,546.64/x
  3. Step 3: Cross multiply
    14,798x = 22,212.20 × 11,546.64
  4. Step 4: Simplify right side
    14,798x = 256,476,277.01
  5. Step 5: Solve for x
    x = 256,476,277.01/14,798
  6. Step 6: Final answer
    x = 17,331.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.