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Finding the Fourth Proportional to 25,989.37, 38,988.86 and 8,224.50

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Solution

The fourth proportional to 25,989.37, 38,988.86 and 8,224.50 is: 12,338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,989.37 : 38,988.86 = 8,224.50 : x
  2. Step 2: Convert to fraction form
    25,989.37/38,988.86 = 8,224.50/x
  3. Step 3: Cross multiply
    25,989.37x = 38,988.86 × 8,224.50
  4. Step 4: Simplify right side
    25,989.37x = 320,664,030.42
  5. Step 5: Solve for x
    x = 320,664,030.42/25,989.37
  6. Step 6: Final answer
    x = 12,338.27

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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.