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Finding the Fourth Proportional to 16,173.60, 22,267.40 and 12,584.16

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Solution

The fourth proportional to 16,173.60, 22,267.40 and 12,584.16 is: 17,325.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,173.60 : 22,267.40 = 12,584.16 : x
  2. Step 2: Convert to fraction form
    16,173.60/22,267.40 = 12,584.16/x
  3. Step 3: Cross multiply
    16,173.60x = 22,267.40 × 12,584.16
  4. Step 4: Simplify right side
    16,173.60x = 280,216,524.38
  5. Step 5: Solve for x
    x = 280,216,524.38/16,173.60
  6. Step 6: Final answer
    x = 17,325.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.