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Finding the Fourth Proportional to 14,610.56, 21,924.80 and 6,820

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Solution

The fourth proportional to 14,610.56, 21,924.80 and 6,820 is: 10,234.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,610.56 : 21,924.80 = 6,820 : x
  2. Step 2: Convert to fraction form
    14,610.56/21,924.80 = 6,820/x
  3. Step 3: Cross multiply
    14,610.56x = 21,924.80 × 6,820
  4. Step 4: Simplify right side
    14,610.56x = 149,527,136
  5. Step 5: Solve for x
    x = 149,527,136/14,610.56
  6. Step 6: Final answer
    x = 10,234.18

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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.