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Finding the Fourth Proportional to 14,141.67, 21,213.11 and 5,823.19

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Solution

The fourth proportional to 14,141.67, 21,213.11 and 5,823.19 is: 8,735.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.67 : 21,213.11 = 5,823.19 : x
  2. Step 2: Convert to fraction form
    14,141.67/21,213.11 = 5,823.19/x
  3. Step 3: Cross multiply
    14,141.67x = 21,213.11 × 5,823.19
  4. Step 4: Simplify right side
    14,141.67x = 123,527,970.02
  5. Step 5: Solve for x
    x = 123,527,970.02/14,141.67
  6. Step 6: Final answer
    x = 8,735.03

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1.5x scale

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.