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Finding the Fourth Proportional to 13,000.20, 19,500.30 and 5,214.60

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Solution

The fourth proportional to 13,000.20, 19,500.30 and 5,214.60 is: 7,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.20 : 19,500.30 = 5,214.60 : x
  2. Step 2: Convert to fraction form
    13,000.20/19,500.30 = 5,214.60/x
  3. Step 3: Cross multiply
    13,000.20x = 19,500.30 × 5,214.60
  4. Step 4: Simplify right side
    13,000.20x = 101,686,264.38
  5. Step 5: Solve for x
    x = 101,686,264.38/13,000.20
  6. Step 6: Final answer
    x = 7,821.90

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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.