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Finding the Fourth Proportional to 16,480.17, 22,742.64 and 9,028.17

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Solution

The fourth proportional to 16,480.17, 22,742.64 and 9,028.17 is: 12,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,480.17 : 22,742.64 = 9,028.17 : x
  2. Step 2: Convert to fraction form
    16,480.17/22,742.64 = 9,028.17/x
  3. Step 3: Cross multiply
    16,480.17x = 22,742.64 × 9,028.17
  4. Step 4: Simplify right side
    16,480.17x = 205,324,420.17
  5. Step 5: Solve for x
    x = 205,324,420.17/16,480.17
  6. Step 6: Final answer
    x = 12,458.88

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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.