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Finding the Fourth Proportional to 28,096, 38,772.48 and 16,920.16

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Solution

The fourth proportional to 28,096, 38,772.48 and 16,920.16 is: 23,349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,096 : 38,772.48 = 16,920.16 : x
  2. Step 2: Convert to fraction form
    28,096/38,772.48 = 16,920.16/x
  3. Step 3: Cross multiply
    28,096x = 38,772.48 × 16,920.16
  4. Step 4: Simplify right side
    28,096x = 656,036,565.20
  5. Step 5: Solve for x
    x = 656,036,565.20/28,096
  6. Step 6: Final answer
    x = 23,349.82

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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.