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Finding the Fourth Proportional to 16,014.71, 22,096.09 and 9,725.87

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Solution

The fourth proportional to 16,014.71, 22,096.09 and 9,725.87 is: 13,419.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,014.71 : 22,096.09 = 9,725.87 : x
  2. Step 2: Convert to fraction form
    16,014.71/22,096.09 = 9,725.87/x
  3. Step 3: Cross multiply
    16,014.71x = 22,096.09 × 9,725.87
  4. Step 4: Simplify right side
    16,014.71x = 214,903,766.25
  5. Step 5: Solve for x
    x = 214,903,766.25/16,014.71
  6. Step 6: Final answer
    x = 13,419.15

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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.