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Finding the Fourth Proportional to 14,153.76, 21,204 and 8,292.96

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Solution

The fourth proportional to 14,153.76, 21,204 and 8,292.96 is: 12,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,153.76 : 21,204 = 8,292.96 : x
  2. Step 2: Convert to fraction form
    14,153.76/21,204 = 8,292.96/x
  3. Step 3: Cross multiply
    14,153.76x = 21,204 × 8,292.96
  4. Step 4: Simplify right side
    14,153.76x = 175,843,923.84
  5. Step 5: Solve for x
    x = 175,843,923.84/14,153.76
  6. Step 6: Final answer
    x = 12,423.83

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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.