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Finding the Fourth Proportional to 14,096.96, 21,106.24 and 7,137.28

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Solution

The fourth proportional to 14,096.96, 21,106.24 and 7,137.28 is: 10,686.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096.96 : 21,106.24 = 7,137.28 : x
  2. Step 2: Convert to fraction form
    14,096.96/21,106.24 = 7,137.28/x
  3. Step 3: Cross multiply
    14,096.96x = 21,106.24 × 7,137.28
  4. Step 4: Simplify right side
    14,096.96x = 150,641,144.63
  5. Step 5: Solve for x
    x = 150,641,144.63/14,096.96
  6. Step 6: Final answer
    x = 10,686.07

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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.