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Finding the Fourth Proportional to 13,784.50, 20,660.28 and 5,009.14

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Solution

The fourth proportional to 13,784.50, 20,660.28 and 5,009.14 is: 7,507.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.50 : 20,660.28 = 5,009.14 : x
  2. Step 2: Convert to fraction form
    13,784.50/20,660.28 = 5,009.14/x
  3. Step 3: Cross multiply
    13,784.50x = 20,660.28 × 5,009.14
  4. Step 4: Simplify right side
    13,784.50x = 103,490,234.96
  5. Step 5: Solve for x
    x = 103,490,234.96/13,784.50
  6. Step 6: Final answer
    x = 7,507.72

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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.