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Finding the Fourth Proportional to 14,662.45, 20,233.63 and 7,947.93

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Solution

The fourth proportional to 14,662.45, 20,233.63 and 7,947.93 is: 10,967.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,662.45 : 20,233.63 = 7,947.93 : x
  2. Step 2: Convert to fraction form
    14,662.45/20,233.63 = 7,947.93/x
  3. Step 3: Cross multiply
    14,662.45x = 20,233.63 × 7,947.93
  4. Step 4: Simplify right side
    14,662.45x = 160,815,373.72
  5. Step 5: Solve for x
    x = 160,815,373.72/14,662.45
  6. Step 6: Final answer
    x = 10,967.84

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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.