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Finding the Fourth Proportional to 15,670.20, 21,624.88 and 8,596.64

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Solution

The fourth proportional to 15,670.20, 21,624.88 and 8,596.64 is: 11,863.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,670.20 : 21,624.88 = 8,596.64 : x
  2. Step 2: Convert to fraction form
    15,670.20/21,624.88 = 8,596.64/x
  3. Step 3: Cross multiply
    15,670.20x = 21,624.88 × 8,596.64
  4. Step 4: Simplify right side
    15,670.20x = 185,901,308.40
  5. Step 5: Solve for x
    x = 185,901,308.40/15,670.20
  6. Step 6: Final answer
    x = 11,863.37

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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.