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Finding the Fourth Proportional to 16,385.60, 22,589.20 and 13,857.54

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Solution

The fourth proportional to 16,385.60, 22,589.20 and 13,857.54 is: 19,104.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385.60 : 22,589.20 = 13,857.54 : x
  2. Step 2: Convert to fraction form
    16,385.60/22,589.20 = 13,857.54/x
  3. Step 3: Cross multiply
    16,385.60x = 22,589.20 × 13,857.54
  4. Step 4: Simplify right side
    16,385.60x = 313,030,742.57
  5. Step 5: Solve for x
    x = 313,030,742.57/16,385.60
  6. Step 6: Final answer
    x = 19,104.01

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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.