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Finding the Fourth Proportional to 14,202.72, 19,601.32 and 8,234.32

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Solution

The fourth proportional to 14,202.72, 19,601.32 and 8,234.32 is: 11,364.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202.72 : 19,601.32 = 8,234.32 : x
  2. Step 2: Convert to fraction form
    14,202.72/19,601.32 = 8,234.32/x
  3. Step 3: Cross multiply
    14,202.72x = 19,601.32 × 8,234.32
  4. Step 4: Simplify right side
    14,202.72x = 161,403,541.30
  5. Step 5: Solve for x
    x = 161,403,541.30/14,202.72
  6. Step 6: Final answer
    x = 11,364.27

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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.