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Finding the Fourth Proportional to 12,365.20, 18,528.60 and 10,406.80

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Solution

The fourth proportional to 12,365.20, 18,528.60 and 10,406.80 is: 15,594.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,365.20 : 18,528.60 = 10,406.80 : x
  2. Step 2: Convert to fraction form
    12,365.20/18,528.60 = 10,406.80/x
  3. Step 3: Cross multiply
    12,365.20x = 18,528.60 × 10,406.80
  4. Step 4: Simplify right side
    12,365.20x = 192,823,434.48
  5. Step 5: Solve for x
    x = 192,823,434.48/12,365.20
  6. Step 6: Final answer
    x = 15,594.04

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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.