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Finding the Fourth Proportional to 17,213.67, 25,823.21 and 7,353

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Solution

The fourth proportional to 17,213.67, 25,823.21 and 7,353 is: 11,030.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,213.67 : 25,823.21 = 7,353 : x
  2. Step 2: Convert to fraction form
    17,213.67/25,823.21 = 7,353/x
  3. Step 3: Cross multiply
    17,213.67x = 25,823.21 × 7,353
  4. Step 4: Simplify right side
    17,213.67x = 189,878,026.37
  5. Step 5: Solve for x
    x = 189,878,026.37/17,213.67
  6. Step 6: Final answer
    x = 11,030.65

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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.