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Finding the Fourth Proportional to 14,460, 21,675.23 and 8,206.80

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Solution

The fourth proportional to 14,460, 21,675.23 and 8,206.80 is: 12,301.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,460 : 21,675.23 = 8,206.80 : x
  2. Step 2: Convert to fraction form
    14,460/21,675.23 = 8,206.80/x
  3. Step 3: Cross multiply
    14,460x = 21,675.23 × 8,206.80
  4. Step 4: Simplify right side
    14,460x = 177,884,236.53
  5. Step 5: Solve for x
    x = 177,884,236.53/14,460
  6. Step 6: Final answer
    x = 12,301.81

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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.