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Finding the Fourth Proportional to 12,454.37, 18,668.58 and 5,432.50

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Solution

The fourth proportional to 12,454.37, 18,668.58 and 5,432.50 is: 8,143.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.37 : 18,668.58 = 5,432.50 : x
  2. Step 2: Convert to fraction form
    12,454.37/18,668.58 = 5,432.50/x
  3. Step 3: Cross multiply
    12,454.37x = 18,668.58 × 5,432.50
  4. Step 4: Simplify right side
    12,454.37x = 101,416,958.80
  5. Step 5: Solve for x
    x = 101,416,958.80/12,454.37
  6. Step 6: Final answer
    x = 8,143.08

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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.