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Finding the Fourth Proportional to 26,336, 39,499.14 and 7,611.38

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Solution

The fourth proportional to 26,336, 39,499.14 and 7,611.38 is: 11,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,336 : 39,499.14 = 7,611.38 : x
  2. Step 2: Convert to fraction form
    26,336/39,499.14 = 7,611.38/x
  3. Step 3: Cross multiply
    26,336x = 39,499.14 × 7,611.38
  4. Step 4: Simplify right side
    26,336x = 300,642,964.21
  5. Step 5: Solve for x
    x = 300,642,964.21/26,336
  6. Step 6: Final answer
    x = 11,415.67

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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.