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Finding the Fourth Proportional to 13,739.69, 18,952.68 and 8,430.75

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Solution

The fourth proportional to 13,739.69, 18,952.68 and 8,430.75 is: 11,629.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,739.69 : 18,952.68 = 8,430.75 : x
  2. Step 2: Convert to fraction form
    13,739.69/18,952.68 = 8,430.75/x
  3. Step 3: Cross multiply
    13,739.69x = 18,952.68 × 8,430.75
  4. Step 4: Simplify right side
    13,739.69x = 159,785,338.53
  5. Step 5: Solve for x
    x = 159,785,338.53/13,739.69
  6. Step 6: Final answer
    x = 11,629.47

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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.