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Finding the Fourth Proportional to 23,180.94, 31,990.86 and 14,679.90

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Solution

The fourth proportional to 23,180.94, 31,990.86 and 14,679.90 is: 20,259.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,180.94 : 31,990.86 = 14,679.90 : x
  2. Step 2: Convert to fraction form
    23,180.94/31,990.86 = 14,679.90/x
  3. Step 3: Cross multiply
    23,180.94x = 31,990.86 × 14,679.90
  4. Step 4: Simplify right side
    23,180.94x = 469,622,625.71
  5. Step 5: Solve for x
    x = 469,622,625.71/23,180.94
  6. Step 6: Final answer
    x = 20,259.00

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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.