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Finding the Fourth Proportional to 14,443.50, 19,932.06 and 7,819.50

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Solution

The fourth proportional to 14,443.50, 19,932.06 and 7,819.50 is: 10,790.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,443.50 : 19,932.06 = 7,819.50 : x
  2. Step 2: Convert to fraction form
    14,443.50/19,932.06 = 7,819.50/x
  3. Step 3: Cross multiply
    14,443.50x = 19,932.06 × 7,819.50
  4. Step 4: Simplify right side
    14,443.50x = 155,858,743.17
  5. Step 5: Solve for x
    x = 155,858,743.17/14,443.50
  6. Step 6: Final answer
    x = 10,790.93

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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.