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Finding the Fourth Proportional to 27,117.81, 40,667.34 and 12,884.64

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Solution

The fourth proportional to 27,117.81, 40,667.34 and 12,884.64 is: 19,322.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,117.81 : 40,667.34 = 12,884.64 : x
  2. Step 2: Convert to fraction form
    27,117.81/40,667.34 = 12,884.64/x
  3. Step 3: Cross multiply
    27,117.81x = 40,667.34 × 12,884.64
  4. Step 4: Simplify right side
    27,117.81x = 523,984,035.66
  5. Step 5: Solve for x
    x = 523,984,035.66/27,117.81
  6. Step 6: Final answer
    x = 19,322.51

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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.