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Finding the Fourth Proportional to 14,473.40, 19,974.08 and 8,099.60

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Solution

The fourth proportional to 14,473.40, 19,974.08 and 8,099.60 is: 11,177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,473.40 : 19,974.08 = 8,099.60 : x
  2. Step 2: Convert to fraction form
    14,473.40/19,974.08 = 8,099.60/x
  3. Step 3: Cross multiply
    14,473.40x = 19,974.08 × 8,099.60
  4. Step 4: Simplify right side
    14,473.40x = 161,782,058.37
  5. Step 5: Solve for x
    x = 161,782,058.37/14,473.40
  6. Step 6: Final answer
    x = 11,177.89

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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.