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Finding the Fourth Proportional to 12,999.34, 19,500.63 and 5,102.11

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Solution

The fourth proportional to 12,999.34, 19,500.63 and 5,102.11 is: 7,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,999.34 : 19,500.63 = 5,102.11 : x
  2. Step 2: Convert to fraction form
    12,999.34/19,500.63 = 5,102.11/x
  3. Step 3: Cross multiply
    12,999.34x = 19,500.63 × 5,102.11
  4. Step 4: Simplify right side
    12,999.34x = 99,494,359.33
  5. Step 5: Solve for x
    x = 99,494,359.33/12,999.34
  6. Step 6: Final answer
    x = 7,653.80

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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.