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Finding the Fourth Proportional to 17,073, 25,609.68 and 4,761

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Solution

The fourth proportional to 17,073, 25,609.68 and 4,761 is: 7,141.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,073 : 25,609.68 = 4,761 : x
  2. Step 2: Convert to fraction form
    17,073/25,609.68 = 4,761/x
  3. Step 3: Cross multiply
    17,073x = 25,609.68 × 4,761
  4. Step 4: Simplify right side
    17,073x = 121,927,686.48
  5. Step 5: Solve for x
    x = 121,927,686.48/17,073
  6. Step 6: Final answer
    x = 7,141.55

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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.