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Finding the Fourth Proportional to 14,660.85, 20,231.87 and 7,946.49

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Solution

The fourth proportional to 14,660.85, 20,231.87 and 7,946.49 is: 10,966.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,660.85 : 20,231.87 = 7,946.49 : x
  2. Step 2: Convert to fraction form
    14,660.85/20,231.87 = 7,946.49/x
  3. Step 3: Cross multiply
    14,660.85x = 20,231.87 × 7,946.49
  4. Step 4: Simplify right side
    14,660.85x = 160,772,312.90
  5. Step 5: Solve for x
    x = 160,772,312.90/14,660.85
  6. Step 6: Final answer
    x = 10,966.10

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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.