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Finding the Fourth Proportional to 16,164.17, 22,299.19 and 11,680.82

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Solution

The fourth proportional to 16,164.17, 22,299.19 and 11,680.82 is: 16,114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.17 : 22,299.19 = 11,680.82 : x
  2. Step 2: Convert to fraction form
    16,164.17/22,299.19 = 11,680.82/x
  3. Step 3: Cross multiply
    16,164.17x = 22,299.19 × 11,680.82
  4. Step 4: Simplify right side
    16,164.17x = 260,472,683.84
  5. Step 5: Solve for x
    x = 260,472,683.84/16,164.17
  6. Step 6: Final answer
    x = 16,114.21

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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.