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Finding the Fourth Proportional to 19,984.96, 27,583.02 and 12,434.68

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Solution

The fourth proportional to 19,984.96, 27,583.02 and 12,434.68 is: 17,162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,984.96 : 27,583.02 = 12,434.68 : x
  2. Step 2: Convert to fraction form
    19,984.96/27,583.02 = 12,434.68/x
  3. Step 3: Cross multiply
    19,984.96x = 27,583.02 × 12,434.68
  4. Step 4: Simplify right side
    19,984.96x = 342,986,027.13
  5. Step 5: Solve for x
    x = 342,986,027.13/19,984.96
  6. Step 6: Final answer
    x = 17,162.21

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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.