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Finding the Fourth Proportional to 14,202.06, 19,597.64 and 8,234.06

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Solution

The fourth proportional to 14,202.06, 19,597.64 and 8,234.06 is: 11,362.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202.06 : 19,597.64 = 8,234.06 : x
  2. Step 2: Convert to fraction form
    14,202.06/19,597.64 = 8,234.06/x
  3. Step 3: Cross multiply
    14,202.06x = 19,597.64 × 8,234.06
  4. Step 4: Simplify right side
    14,202.06x = 161,368,143.62
  5. Step 5: Solve for x
    x = 161,368,143.62/14,202.06
  6. Step 6: Final answer
    x = 11,362.31

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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.