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Finding the Fourth Proportional to 13,504.81, 18,659.48 and 9,720.49

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Solution

The fourth proportional to 13,504.81, 18,659.48 and 9,720.49 is: 13,430.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.81 : 18,659.48 = 9,720.49 : x
  2. Step 2: Convert to fraction form
    13,504.81/18,659.48 = 9,720.49/x
  3. Step 3: Cross multiply
    13,504.81x = 18,659.48 × 9,720.49
  4. Step 4: Simplify right side
    13,504.81x = 181,379,288.75
  5. Step 5: Solve for x
    x = 181,379,288.75/13,504.81
  6. Step 6: Final answer
    x = 13,430.72

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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.