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Finding the Fourth Proportional to 16,769, 25,152.72 and 4,922.28

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Solution

The fourth proportional to 16,769, 25,152.72 and 4,922.28 is: 7,383.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,769 : 25,152.72 = 4,922.28 : x
  2. Step 2: Convert to fraction form
    16,769/25,152.72 = 4,922.28/x
  3. Step 3: Cross multiply
    16,769x = 25,152.72 × 4,922.28
  4. Step 4: Simplify right side
    16,769x = 123,808,730.60
  5. Step 5: Solve for x
    x = 123,808,730.60/16,769
  6. Step 6: Final answer
    x = 7,383.19

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