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Finding the Fourth Proportional to 14,177.70, 21,269.42 and 7,946.60

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Solution

The fourth proportional to 14,177.70, 21,269.42 and 7,946.60 is: 11,921.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,177.70 : 21,269.42 = 7,946.60 : x
  2. Step 2: Convert to fraction form
    14,177.70/21,269.42 = 7,946.60/x
  3. Step 3: Cross multiply
    14,177.70x = 21,269.42 × 7,946.60
  4. Step 4: Simplify right side
    14,177.70x = 169,019,572.97
  5. Step 5: Solve for x
    x = 169,019,572.97/14,177.70
  6. Step 6: Final answer
    x = 11,921.51

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