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Finding the Fourth Proportional to 13,006.41, 19,500.78 and 5,103.99

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Solution

The fourth proportional to 13,006.41, 19,500.78 and 5,103.99 is: 7,652.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.41 : 19,500.78 = 5,103.99 : x
  2. Step 2: Convert to fraction form
    13,006.41/19,500.78 = 5,103.99/x
  3. Step 3: Cross multiply
    13,006.41x = 19,500.78 × 5,103.99
  4. Step 4: Simplify right side
    13,006.41x = 99,531,786.11
  5. Step 5: Solve for x
    x = 99,531,786.11/13,006.41
  6. Step 6: Final answer
    x = 7,652.52

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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.