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Finding the Fourth Proportional to 14,008.50, 19,331.23 and 7,634.96

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Solution

The fourth proportional to 14,008.50, 19,331.23 and 7,634.96 is: 10,535.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,008.50 : 19,331.23 = 7,634.96 : x
  2. Step 2: Convert to fraction form
    14,008.50/19,331.23 = 7,634.96/x
  3. Step 3: Cross multiply
    14,008.50x = 19,331.23 × 7,634.96
  4. Step 4: Simplify right side
    14,008.50x = 147,593,071.14
  5. Step 5: Solve for x
    x = 147,593,071.14/14,008.50
  6. Step 6: Final answer
    x = 10,535.97

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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.