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Finding the Fourth Proportional to 17,182, 25,777.32 and 4,870

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Solution

The fourth proportional to 17,182, 25,777.32 and 4,870 is: 7,306.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,182 : 25,777.32 = 4,870 : x
  2. Step 2: Convert to fraction form
    17,182/25,777.32 = 4,870/x
  3. Step 3: Cross multiply
    17,182x = 25,777.32 × 4,870
  4. Step 4: Simplify right side
    17,182x = 125,535,548.40
  5. Step 5: Solve for x
    x = 125,535,548.40/17,182
  6. Step 6: Final answer
    x = 7,306.22

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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.