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Finding the Fourth Proportional to 14,661.09, 20,232.32 and 7,946.73

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Solution

The fourth proportional to 14,661.09, 20,232.32 and 7,946.73 is: 10,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,661.09 : 20,232.32 = 7,946.73 : x
  2. Step 2: Convert to fraction form
    14,661.09/20,232.32 = 7,946.73/x
  3. Step 3: Cross multiply
    14,661.09x = 20,232.32 × 7,946.73
  4. Step 4: Simplify right side
    14,661.09x = 160,780,744.58
  5. Step 5: Solve for x
    x = 160,780,744.58/14,661.09
  6. Step 6: Final answer
    x = 10,966.49

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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.