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Finding the Fourth Proportional to 14,096.56, 21,145.08 and 5,335.60

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Solution

The fourth proportional to 14,096.56, 21,145.08 and 5,335.60 is: 8,003.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096.56 : 21,145.08 = 5,335.60 : x
  2. Step 2: Convert to fraction form
    14,096.56/21,145.08 = 5,335.60/x
  3. Step 3: Cross multiply
    14,096.56x = 21,145.08 × 5,335.60
  4. Step 4: Simplify right side
    14,096.56x = 112,821,688.85
  5. Step 5: Solve for x
    x = 112,821,688.85/14,096.56
  6. Step 6: Final answer
    x = 8,003.49

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Why These Related Problems?

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