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Finding the Fourth Proportional to 17,610.54, 26,416.62 and 7,215

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Solution

The fourth proportional to 17,610.54, 26,416.62 and 7,215 is: 10,822.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,610.54 : 26,416.62 = 7,215 : x
  2. Step 2: Convert to fraction form
    17,610.54/26,416.62 = 7,215/x
  3. Step 3: Cross multiply
    17,610.54x = 26,416.62 × 7,215
  4. Step 4: Simplify right side
    17,610.54x = 190,595,913.30
  5. Step 5: Solve for x
    x = 190,595,913.30/17,610.54
  6. Step 6: Final answer
    x = 10,822.83

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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.