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Finding the Fourth Proportional to 17,213.13, 25,824.59 and 8,897.67

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Solution

The fourth proportional to 17,213.13, 25,824.59 and 8,897.67 is: 13,349.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,213.13 : 25,824.59 = 8,897.67 : x
  2. Step 2: Convert to fraction form
    17,213.13/25,824.59 = 8,897.67/x
  3. Step 3: Cross multiply
    17,213.13x = 25,824.59 × 8,897.67
  4. Step 4: Simplify right side
    17,213.13x = 229,778,635.22
  5. Step 5: Solve for x
    x = 229,778,635.22/17,213.13
  6. Step 6: Final answer
    x = 13,349.03

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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.