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Finding the Fourth Proportional to 13,043.33, 19,564.99 and 6,474.13

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Solution

The fourth proportional to 13,043.33, 19,564.99 and 6,474.13 is: 9,711.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,043.33 : 19,564.99 = 6,474.13 : x
  2. Step 2: Convert to fraction form
    13,043.33/19,564.99 = 6,474.13/x
  3. Step 3: Cross multiply
    13,043.33x = 19,564.99 × 6,474.13
  4. Step 4: Simplify right side
    13,043.33x = 126,666,260.03
  5. Step 5: Solve for x
    x = 126,666,260.03/13,043.33
  6. Step 6: Final answer
    x = 9,711.19

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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.