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Finding the Fourth Proportional to 13,202.70, 19,782.45 and 11,258.70

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Solution

The fourth proportional to 13,202.70, 19,782.45 and 11,258.70 is: 16,869.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.70 : 19,782.45 = 11,258.70 : x
  2. Step 2: Convert to fraction form
    13,202.70/19,782.45 = 11,258.70/x
  3. Step 3: Cross multiply
    13,202.70x = 19,782.45 × 11,258.70
  4. Step 4: Simplify right side
    13,202.70x = 222,724,669.82
  5. Step 5: Solve for x
    x = 222,724,669.82/13,202.70
  6. Step 6: Final answer
    x = 16,869.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.