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Finding the Fourth Proportional to 14,005.71, 21,008.61 and 9,609.84

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Solution

The fourth proportional to 14,005.71, 21,008.61 and 9,609.84 is: 14,414.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005.71 : 21,008.61 = 9,609.84 : x
  2. Step 2: Convert to fraction form
    14,005.71/21,008.61 = 9,609.84/x
  3. Step 3: Cross multiply
    14,005.71x = 21,008.61 × 9,609.84
  4. Step 4: Simplify right side
    14,005.71x = 201,889,380.72
  5. Step 5: Solve for x
    x = 201,889,380.72/14,005.71
  6. Step 6: Final answer
    x = 14,414.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.