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Finding the Fourth Proportional to 12,404.64, 18,608.04 and 4,620

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Solution

The fourth proportional to 12,404.64, 18,608.04 and 4,620 is: 6,930.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,404.64 : 18,608.04 = 4,620 : x
  2. Step 2: Convert to fraction form
    12,404.64/18,608.04 = 4,620/x
  3. Step 3: Cross multiply
    12,404.64x = 18,608.04 × 4,620
  4. Step 4: Simplify right side
    12,404.64x = 85,969,144.80
  5. Step 5: Solve for x
    x = 85,969,144.80/12,404.64
  6. Step 6: Final answer
    x = 6,930.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.