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Finding the Fourth Proportional to 14,232, 19,640.16 and 7,944.39

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Solution

The fourth proportional to 14,232, 19,640.16 and 7,944.39 is: 10,963.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232 : 19,640.16 = 7,944.39 : x
  2. Step 2: Convert to fraction form
    14,232/19,640.16 = 7,944.39/x
  3. Step 3: Cross multiply
    14,232x = 19,640.16 × 7,944.39
  4. Step 4: Simplify right side
    14,232x = 156,029,090.70
  5. Step 5: Solve for x
    x = 156,029,090.70/14,232
  6. Step 6: Final answer
    x = 10,963.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.