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Finding the Fourth Proportional to 12,999.90, 19,499.85 and 5,214.30

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Solution

The fourth proportional to 12,999.90, 19,499.85 and 5,214.30 is: 7,821.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,999.90 : 19,499.85 = 5,214.30 : x
  2. Step 2: Convert to fraction form
    12,999.90/19,499.85 = 5,214.30/x
  3. Step 3: Cross multiply
    12,999.90x = 19,499.85 × 5,214.30
  4. Step 4: Simplify right side
    12,999.90x = 101,678,067.86
  5. Step 5: Solve for x
    x = 101,678,067.86/12,999.90
  6. Step 6: Final answer
    x = 7,821.45

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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.