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Finding the Fourth Proportional to 14,461.23, 21,672.89 and 8,224.11

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Solution

The fourth proportional to 14,461.23, 21,672.89 and 8,224.11 is: 12,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461.23 : 21,672.89 = 8,224.11 : x
  2. Step 2: Convert to fraction form
    14,461.23/21,672.89 = 8,224.11/x
  3. Step 3: Cross multiply
    14,461.23x = 21,672.89 × 8,224.11
  4. Step 4: Simplify right side
    14,461.23x = 178,240,190.26
  5. Step 5: Solve for x
    x = 178,240,190.26/14,461.23
  6. Step 6: Final answer
    x = 12,325.38

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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.