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Finding the Fourth Proportional to 34,272.36, 51,398.82 and 13,491

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Solution

The fourth proportional to 34,272.36, 51,398.82 and 13,491 is: 20,232.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,272.36 : 51,398.82 = 13,491 : x
  2. Step 2: Convert to fraction form
    34,272.36/51,398.82 = 13,491/x
  3. Step 3: Cross multiply
    34,272.36x = 51,398.82 × 13,491
  4. Step 4: Simplify right side
    34,272.36x = 693,421,480.62
  5. Step 5: Solve for x
    x = 693,421,480.62/34,272.36
  6. Step 6: Final answer
    x = 20,232.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.