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Finding the Fourth Proportional to 17,076, 25,618.32 and 4,764

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Solution

The fourth proportional to 17,076, 25,618.32 and 4,764 is: 7,147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,076 : 25,618.32 = 4,764 : x
  2. Step 2: Convert to fraction form
    17,076/25,618.32 = 4,764/x
  3. Step 3: Cross multiply
    17,076x = 25,618.32 × 4,764
  4. Step 4: Simplify right side
    17,076x = 122,045,676.48
  5. Step 5: Solve for x
    x = 122,045,676.48/17,076
  6. Step 6: Final answer
    x = 7,147.21

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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.