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Finding the Fourth Proportional to 16,212, 24,325.32 and 9,286.50

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Solution

The fourth proportional to 16,212, 24,325.32 and 9,286.50 is: 13,933.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,212 : 24,325.32 = 9,286.50 : x
  2. Step 2: Convert to fraction form
    16,212/24,325.32 = 9,286.50/x
  3. Step 3: Cross multiply
    16,212x = 24,325.32 × 9,286.50
  4. Step 4: Simplify right side
    16,212x = 225,897,084.18
  5. Step 5: Solve for x
    x = 225,897,084.18/16,212
  6. Step 6: Final answer
    x = 13,933.94

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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.