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Finding the Fourth Proportional to 27,109.81, 40,667.48 and 9,338.16

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Solution

The fourth proportional to 27,109.81, 40,667.48 and 9,338.16 is: 14,008.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,109.81 : 40,667.48 = 9,338.16 : x
  2. Step 2: Convert to fraction form
    27,109.81/40,667.48 = 9,338.16/x
  3. Step 3: Cross multiply
    27,109.81x = 40,667.48 × 9,338.16
  4. Step 4: Simplify right side
    27,109.81x = 379,759,435.04
  5. Step 5: Solve for x
    x = 379,759,435.04/27,109.81
  6. Step 6: Final answer
    x = 14,008.19

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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.