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Finding the Fourth Proportional to 13,209.80, 19,810.11 and 5,309.97

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Solution

The fourth proportional to 13,209.80, 19,810.11 and 5,309.97 is: 7,963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.80 : 19,810.11 = 5,309.97 : x
  2. Step 2: Convert to fraction form
    13,209.80/19,810.11 = 5,309.97/x
  3. Step 3: Cross multiply
    13,209.80x = 19,810.11 × 5,309.97
  4. Step 4: Simplify right side
    13,209.80x = 105,191,089.80
  5. Step 5: Solve for x
    x = 105,191,089.80/13,209.80
  6. Step 6: Final answer
    x = 7,963.11

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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.