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Finding the Fourth Proportional to 17,402.50, 26,108.08 and 5,090.50

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Solution

The fourth proportional to 17,402.50, 26,108.08 and 5,090.50 is: 7,637.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,402.50 : 26,108.08 = 5,090.50 : x
  2. Step 2: Convert to fraction form
    17,402.50/26,108.08 = 5,090.50/x
  3. Step 3: Cross multiply
    17,402.50x = 26,108.08 × 5,090.50
  4. Step 4: Simplify right side
    17,402.50x = 132,903,181.24
  5. Step 5: Solve for x
    x = 132,903,181.24/17,402.50
  6. Step 6: Final answer
    x = 7,637.02

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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.