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Finding the Fourth Proportional to 18,783.68, 25,921.50 and 10,400

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Solution

The fourth proportional to 18,783.68, 25,921.50 and 10,400 is: 14,352.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,783.68 : 25,921.50 = 10,400 : x
  2. Step 2: Convert to fraction form
    18,783.68/25,921.50 = 10,400/x
  3. Step 3: Cross multiply
    18,783.68x = 25,921.50 × 10,400
  4. Step 4: Simplify right side
    18,783.68x = 269,583,600
  5. Step 5: Solve for x
    x = 269,583,600/18,783.68
  6. Step 6: Final answer
    x = 14,352.01

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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.