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Finding the Fourth Proportional to 14,713.92, 22,052.16 and 6,912

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Solution

The fourth proportional to 14,713.92, 22,052.16 and 6,912 is: 10,359.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,713.92 : 22,052.16 = 6,912 : x
  2. Step 2: Convert to fraction form
    14,713.92/22,052.16 = 6,912/x
  3. Step 3: Cross multiply
    14,713.92x = 22,052.16 × 6,912
  4. Step 4: Simplify right side
    14,713.92x = 152,424,529.92
  5. Step 5: Solve for x
    x = 152,424,529.92/14,713.92
  6. Step 6: Final answer
    x = 10,359.21

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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.