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Finding the Fourth Proportional to 28,102.28, 38,775.54 and 16,925

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Solution

The fourth proportional to 28,102.28, 38,775.54 and 16,925 is: 23,353.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,102.28 : 38,775.54 = 16,925 : x
  2. Step 2: Convert to fraction form
    28,102.28/38,775.54 = 16,925/x
  3. Step 3: Cross multiply
    28,102.28x = 38,775.54 × 16,925
  4. Step 4: Simplify right side
    28,102.28x = 656,276,014.50
  5. Step 5: Solve for x
    x = 656,276,014.50/28,102.28
  6. Step 6: Final answer
    x = 23,353.12

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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.