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Finding the Fourth Proportional to 13,259.11, 18,287.89 and 8,412.21

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Solution

The fourth proportional to 13,259.11, 18,287.89 and 8,412.21 is: 11,602.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,259.11 : 18,287.89 = 8,412.21 : x
  2. Step 2: Convert to fraction form
    13,259.11/18,287.89 = 8,412.21/x
  3. Step 3: Cross multiply
    13,259.11x = 18,287.89 × 8,412.21
  4. Step 4: Simplify right side
    13,259.11x = 153,841,571.14
  5. Step 5: Solve for x
    x = 153,841,571.14/13,259.11
  6. Step 6: Final answer
    x = 11,602.71

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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.