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Finding the Fourth Proportional to 17,184.96, 23,711.64 and 11,225.39

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Solution

The fourth proportional to 17,184.96, 23,711.64 and 11,225.39 is: 15,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,184.96 : 23,711.64 = 11,225.39 : x
  2. Step 2: Convert to fraction form
    17,184.96/23,711.64 = 11,225.39/x
  3. Step 3: Cross multiply
    17,184.96x = 23,711.64 × 11,225.39
  4. Step 4: Simplify right side
    17,184.96x = 266,172,245.89
  5. Step 5: Solve for x
    x = 266,172,245.89/17,184.96
  6. Step 6: Final answer
    x = 15,488.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.