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Finding the Fourth Proportional to 17,389, 26,083.50 and 5,077

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Solution

The fourth proportional to 17,389, 26,083.50 and 5,077 is: 7,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,389 : 26,083.50 = 5,077 : x
  2. Step 2: Convert to fraction form
    17,389/26,083.50 = 5,077/x
  3. Step 3: Cross multiply
    17,389x = 26,083.50 × 5,077
  4. Step 4: Simplify right side
    17,389x = 132,425,929.50
  5. Step 5: Solve for x
    x = 132,425,929.50/17,389
  6. Step 6: Final answer
    x = 7,615.50

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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.