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Finding the Fourth Proportional to 14,101.94, 19,460.42 and 7,728.46

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Solution

The fourth proportional to 14,101.94, 19,460.42 and 7,728.46 is: 10,665.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.94 : 19,460.42 = 7,728.46 : x
  2. Step 2: Convert to fraction form
    14,101.94/19,460.42 = 7,728.46/x
  3. Step 3: Cross multiply
    14,101.94x = 19,460.42 × 7,728.46
  4. Step 4: Simplify right side
    14,101.94x = 150,399,077.55
  5. Step 5: Solve for x
    x = 150,399,077.55/14,101.94
  6. Step 6: Final answer
    x = 10,665.13

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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.