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Finding the Fourth Proportional to 18,784, 25,921.92 and 10,400.50

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Solution

The fourth proportional to 18,784, 25,921.92 and 10,400.50 is: 14,352.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,784 : 25,921.92 = 10,400.50 : x
  2. Step 2: Convert to fraction form
    18,784/25,921.92 = 10,400.50/x
  3. Step 3: Cross multiply
    18,784x = 25,921.92 × 10,400.50
  4. Step 4: Simplify right side
    18,784x = 269,600,928.96
  5. Step 5: Solve for x
    x = 269,600,928.96/18,784
  6. Step 6: Final answer
    x = 14,352.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.