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Finding the Fourth Proportional to 14,456.50, 19,949.97 and 7,832.50

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Solution

The fourth proportional to 14,456.50, 19,949.97 and 7,832.50 is: 10,808.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.50 : 19,949.97 = 7,832.50 : x
  2. Step 2: Convert to fraction form
    14,456.50/19,949.97 = 7,832.50/x
  3. Step 3: Cross multiply
    14,456.50x = 19,949.97 × 7,832.50
  4. Step 4: Simplify right side
    14,456.50x = 156,258,140.03
  5. Step 5: Solve for x
    x = 156,258,140.03/14,456.50
  6. Step 6: Final answer
    x = 10,808.85

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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.