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Finding the Fourth Proportional to 17,145.54, 25,697.76 and 8,829.48

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Solution

The fourth proportional to 17,145.54, 25,697.76 and 8,829.48 is: 13,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,145.54 : 25,697.76 = 8,829.48 : x
  2. Step 2: Convert to fraction form
    17,145.54/25,697.76 = 8,829.48/x
  3. Step 3: Cross multiply
    17,145.54x = 25,697.76 × 8,829.48
  4. Step 4: Simplify right side
    17,145.54x = 226,897,857.96
  5. Step 5: Solve for x
    x = 226,897,857.96/17,145.54
  6. Step 6: Final answer
    x = 13,233.64

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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.