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Finding the Fourth Proportional to 12,892.03, 19,340.04 and 5,496.50

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Solution

The fourth proportional to 12,892.03, 19,340.04 and 5,496.50 is: 8,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.03 : 19,340.04 = 5,496.50 : x
  2. Step 2: Convert to fraction form
    12,892.03/19,340.04 = 5,496.50/x
  3. Step 3: Cross multiply
    12,892.03x = 19,340.04 × 5,496.50
  4. Step 4: Simplify right side
    12,892.03x = 106,302,529.86
  5. Step 5: Solve for x
    x = 106,302,529.86/12,892.03
  6. Step 6: Final answer
    x = 8,245.60

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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.