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Finding the Fourth Proportional to 14,076.54, 21,106.32 and 9,689.22

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Solution

The fourth proportional to 14,076.54, 21,106.32 and 9,689.22 is: 14,527.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,076.54 : 21,106.32 = 9,689.22 : x
  2. Step 2: Convert to fraction form
    14,076.54/21,106.32 = 9,689.22/x
  3. Step 3: Cross multiply
    14,076.54x = 21,106.32 × 9,689.22
  4. Step 4: Simplify right side
    14,076.54x = 204,503,777.87
  5. Step 5: Solve for x
    x = 204,503,777.87/14,076.54
  6. Step 6: Final answer
    x = 14,527.99

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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.