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Finding the Fourth Proportional to 14,517, 20,035.89 and 8,233.02

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Solution

The fourth proportional to 14,517, 20,035.89 and 8,233.02 is: 11,362.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517 : 20,035.89 = 8,233.02 : x
  2. Step 2: Convert to fraction form
    14,517/20,035.89 = 8,233.02/x
  3. Step 3: Cross multiply
    14,517x = 20,035.89 × 8,233.02
  4. Step 4: Simplify right side
    14,517x = 164,955,883.09
  5. Step 5: Solve for x
    x = 164,955,883.09/14,517
  6. Step 6: Final answer
    x = 11,362.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.