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Finding the Fourth Proportional to 23,084.96, 31,854.94 and 14,135.00

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Solution

The fourth proportional to 23,084.96, 31,854.94 and 14,135.00 is: 19,504.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,084.96 : 31,854.94 = 14,135.00 : x
  2. Step 2: Convert to fraction form
    23,084.96/31,854.94 = 14,135.00/x
  3. Step 3: Cross multiply
    23,084.96x = 31,854.94 × 14,135.00
  4. Step 4: Simplify right side
    23,084.96x = 450,269,382.29
  5. Step 5: Solve for x
    x = 450,269,382.29/23,084.96
  6. Step 6: Final answer
    x = 19,504.88

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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.