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Finding the Fourth Proportional to 14,576.92, 20,114.52 and 8,202.28

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Solution

The fourth proportional to 14,576.92, 20,114.52 and 8,202.28 is: 11,318.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576.92 : 20,114.52 = 8,202.28 : x
  2. Step 2: Convert to fraction form
    14,576.92/20,114.52 = 8,202.28/x
  3. Step 3: Cross multiply
    14,576.92x = 20,114.52 × 8,202.28
  4. Step 4: Simplify right side
    14,576.92x = 164,984,925.11
  5. Step 5: Solve for x
    x = 164,984,925.11/14,576.92
  6. Step 6: Final answer
    x = 11,318.23

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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.