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Finding the Fourth Proportional to 13,006.60, 19,511.10 and 5,213.80

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Solution

The fourth proportional to 13,006.60, 19,511.10 and 5,213.80 is: 7,821.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.60 : 19,511.10 = 5,213.80 : x
  2. Step 2: Convert to fraction form
    13,006.60/19,511.10 = 5,213.80/x
  3. Step 3: Cross multiply
    13,006.60x = 19,511.10 × 5,213.80
  4. Step 4: Simplify right side
    13,006.60x = 101,726,973.18
  5. Step 5: Solve for x
    x = 101,726,973.18/13,006.60
  6. Step 6: Final answer
    x = 7,821.18

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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.