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Finding the Fourth Proportional to 18,409.60, 27,614.40 and 16,854.40

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Solution

The fourth proportional to 18,409.60, 27,614.40 and 16,854.40 is: 25,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,409.60 : 27,614.40 = 16,854.40 : x
  2. Step 2: Convert to fraction form
    18,409.60/27,614.40 = 16,854.40/x
  3. Step 3: Cross multiply
    18,409.60x = 27,614.40 × 16,854.40
  4. Step 4: Simplify right side
    18,409.60x = 465,424,143.36
  5. Step 5: Solve for x
    x = 465,424,143.36/18,409.60
  6. Step 6: Final answer
    x = 25,281.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.