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Finding the Fourth Proportional to 23,679.80, 32,677.94 and 13,470.80

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Solution

The fourth proportional to 23,679.80, 32,677.94 and 13,470.80 is: 18,589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,679.80 : 32,677.94 = 13,470.80 : x
  2. Step 2: Convert to fraction form
    23,679.80/32,677.94 = 13,470.80/x
  3. Step 3: Cross multiply
    23,679.80x = 32,677.94 × 13,470.80
  4. Step 4: Simplify right side
    23,679.80x = 440,197,994.15
  5. Step 5: Solve for x
    x = 440,197,994.15/23,679.80
  6. Step 6: Final answer
    x = 18,589.60

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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.