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Finding the Fourth Proportional to 13,435.33, 18,539.29 and 7,769.23

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Solution

The fourth proportional to 13,435.33, 18,539.29 and 7,769.23 is: 10,720.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,435.33 : 18,539.29 = 7,769.23 : x
  2. Step 2: Convert to fraction form
    13,435.33/18,539.29 = 7,769.23/x
  3. Step 3: Cross multiply
    13,435.33x = 18,539.29 × 7,769.23
  4. Step 4: Simplify right side
    13,435.33x = 144,036,008.05
  5. Step 5: Solve for x
    x = 144,036,008.05/13,435.33
  6. Step 6: Final answer
    x = 10,720.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.