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Finding the Fourth Proportional to 15,199.56, 22,786.02 and 6,440.76

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Solution

The fourth proportional to 15,199.56, 22,786.02 and 6,440.76 is: 9,655.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,199.56 : 22,786.02 = 6,440.76 : x
  2. Step 2: Convert to fraction form
    15,199.56/22,786.02 = 6,440.76/x
  3. Step 3: Cross multiply
    15,199.56x = 22,786.02 × 6,440.76
  4. Step 4: Simplify right side
    15,199.56x = 146,759,286.18
  5. Step 5: Solve for x
    x = 146,759,286.18/15,199.56
  6. Step 6: Final answer
    x = 9,655.50

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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.