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Finding the Fourth Proportional to 27,798, 38,361.24 and 16,622.64

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Solution

The fourth proportional to 27,798, 38,361.24 and 16,622.64 is: 22,939.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,798 : 38,361.24 = 16,622.64 : x
  2. Step 2: Convert to fraction form
    27,798/38,361.24 = 16,622.64/x
  3. Step 3: Cross multiply
    27,798x = 38,361.24 × 16,622.64
  4. Step 4: Simplify right side
    27,798x = 637,665,082.47
  5. Step 5: Solve for x
    x = 637,665,082.47/27,798
  6. Step 6: Final answer
    x = 22,939.24

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1.5x scale

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.