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Finding the Fourth Proportional to 16,402.50, 24,620.15 and 8,627.72

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Solution

The fourth proportional to 16,402.50, 24,620.15 and 8,627.72 is: 12,950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.50 : 24,620.15 = 8,627.72 : x
  2. Step 2: Convert to fraction form
    16,402.50/24,620.15 = 8,627.72/x
  3. Step 3: Cross multiply
    16,402.50x = 24,620.15 × 8,627.72
  4. Step 4: Simplify right side
    16,402.50x = 212,415,659.03
  5. Step 5: Solve for x
    x = 212,415,659.03/16,402.50
  6. Step 6: Final answer
    x = 12,950.20

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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.