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Finding the Fourth Proportional to 25,497.81, 38,219.38 and 12,321.14

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Solution

The fourth proportional to 25,497.81, 38,219.38 and 12,321.14 is: 18,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,497.81 : 38,219.38 = 12,321.14 : x
  2. Step 2: Convert to fraction form
    25,497.81/38,219.38 = 12,321.14/x
  3. Step 3: Cross multiply
    25,497.81x = 38,219.38 × 12,321.14
  4. Step 4: Simplify right side
    25,497.81x = 470,906,331.69
  5. Step 5: Solve for x
    x = 470,906,331.69/25,497.81
  6. Step 6: Final answer
    x = 18,468.50

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Why These Related Problems?

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