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Finding the Fourth Proportional to 17,402, 26,103.96 and 5,090.96

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Solution

The fourth proportional to 17,402, 26,103.96 and 5,090.96 is: 7,636.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,402 : 26,103.96 = 5,090.96 : x
  2. Step 2: Convert to fraction form
    17,402/26,103.96 = 5,090.96/x
  3. Step 3: Cross multiply
    17,402x = 26,103.96 × 5,090.96
  4. Step 4: Simplify right side
    17,402x = 132,894,216.20
  5. Step 5: Solve for x
    x = 132,894,216.20/17,402
  6. Step 6: Final answer
    x = 7,636.72

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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.