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Finding the Fourth Proportional to 13,190.10, 19,730.48 and 11,221.80

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Solution

The fourth proportional to 13,190.10, 19,730.48 and 11,221.80 is: 16,786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,190.10 : 19,730.48 = 11,221.80 : x
  2. Step 2: Convert to fraction form
    13,190.10/19,730.48 = 11,221.80/x
  3. Step 3: Cross multiply
    13,190.10x = 19,730.48 × 11,221.80
  4. Step 4: Simplify right side
    13,190.10x = 221,411,444.36
  5. Step 5: Solve for x
    x = 221,411,444.36/13,190.10
  6. Step 6: Final answer
    x = 16,786.18

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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.