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Finding the Fourth Proportional to 13,432, 20,148 and 5,224

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Solution

The fourth proportional to 13,432, 20,148 and 5,224 is: 7,836

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432 : 20,148 = 5,224 : x
  2. Step 2: Convert to fraction form
    13,432/20,148 = 5,224/x
  3. Step 3: Cross multiply
    13,432x = 20,148 × 5,224
  4. Step 4: Simplify right side
    13,432x = 105,253,152
  5. Step 5: Solve for x
    x = 105,253,152/13,432
  6. Step 6: Final answer
    x = 7,836

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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.