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Finding the Fourth Proportional to 15,188.64, 22,786.02 and 6,423.54

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Solution

The fourth proportional to 15,188.64, 22,786.02 and 6,423.54 is: 9,636.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,188.64 : 22,786.02 = 6,423.54 : x
  2. Step 2: Convert to fraction form
    15,188.64/22,786.02 = 6,423.54/x
  3. Step 3: Cross multiply
    15,188.64x = 22,786.02 × 6,423.54
  4. Step 4: Simplify right side
    15,188.64x = 146,366,910.91
  5. Step 5: Solve for x
    x = 146,366,910.91/15,188.64
  6. Step 6: Final answer
    x = 9,636.60

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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.